Categories
12th Zoology

Bacteria Structure Culture

Bacteria Structure

The structure, size and arrangement of bacterial cells consitute their
morphology. (Bacteria Structure)

The various morphological features are
1. They are spherical or rod like or spiral shaped.
2. The arrangement of cells in pairs, clusters, chains, trichomes and filaments
etc.
3. The appendages are visible by special staining techniques or by electron
microscopy. (Bacteria Structure)

The above three features represent the gross morphological
characteristics, which are of taxonomic importance in bacterial species
identification. In addition, the bacterial cells possess elaborate internal
structures, which constitute microbial cytology and bacterial anatomy. (Bacteria Structure)

Bacterial Culture

All bacteria need nutrients for their growth. They need a nutrient
medium for their growth and culture. A bacteriological medium is composed Bacterial transformation is a process in which cell free or naked DNA
containing the genetic information is transferred from one bacterial cell to
another. It was discovered by an English health officer, Griffith in 1928. The
transforming principle was identified as DNA by Avery Macleod and Mc
Carthy in 1944.

In transduction, a bacteriophages acts as a vector, transfering a portion
of DNA from one bacterium (donor) to another (recepient). If all fragments
of bacterial DNA have a chance to enter a transducing phage, the
process is called Generalized transduction. On the contrary if a few restricted
genes of the bacterial chromosomes are transduced by bacteriophage,
it is called specialized transduction.

Related Topics in Zoology:

Bio Zoology All Important Topics


  1. Microbiology Introduction and History of Medical Microbiology

  2. Pasteur, Koch, Lister

  3. Structure of Viruses

  4. Viral genetics

  5. Virus Culture

  6. Viral Diseases

  7. Bacteria Structure Culture

  8. Bacterial Genetics

  9. Bacterial Diseases

  10. Protozoan microbiology

  11. Pathogenecity of Microorganisms

  12. Antimicrobial Resistance

  13. Antibiotics and Chemotherapy

  14. AIDS – HIV
Categories
12th Zoology

Viral Diseases

Viral Diseases

A. Cancer and Viruses

Viruses have been identified as one of the causative agents for
cancer or tumour. Such tumour inducing viruses are called oncogenic
viruses. Adenoviruses, polioma virus, simian virus 40 (SV 40), Epstein-Barr
virus (EBV) ( a herpes virus) are oncogenic DNA viruses. The RNA sarcoma
viruses are oncogenic RNA viruses (eg., Rous sarcoma). Viral Diseases

B. Rabies Virus and Rabies disease

Rabies virus belongs to the rhabdovirus family. It is a parasite of
domestic and wild mammals. The transmission to humans occurs through the
bite of an infected animal. Dogs, cats, bats, are the mammalian animal sources
for the rabies virus.
In humans, the symptoms of rabies are severe headache, high fever,
alternating excitement and depression, muscular spasms in throat and chest,
hydrophobia etc. The incubation time in humans is usually about 3 to 8 weeks
but it may also vary. If untreated the mortality rate from rabies is 100 percent.
The new rabies vaccine was discovered in 1980. It is an inactivated
vaccine prepared from the virus propagated in cultures of diploid human
cells. This vaccine is both safe and highly immunogenic. Viral Diseases

C. Pox virus

Pox viruses are the largest of all viruses and are brick shaped. They
contain double stranded DNA, protein and lipid. They have a dum bell shaped
nucleoid surrounded by two membrane layers.
Variola virus is called the small pox virus. It is transmitted by droplet
infection either directly from the infected person or by handling articles
infected by the patient. Small pox is completely eradicated. The small pox
vaccine consists of vaccinia, closely related to variola. It gives protection
both by humoral and cell mediated immunity.
Other pox viruses are chicken pox and measles viruses. Viral Diseases

D. Hepatitis-B

Hepatitis B virus (HBV) is an enveloped virus with a double stranded
DNA. This causes jaundice and hepatic carcinoma. This disease is deadly
and more infective than AIDS. HBV vaccine consists of purified HBV Ag
(Australian antigen) obtained from the blood serum of apparently healthy
carriers. Viral Diseases

Related Topics in Zoology:

Bio Zoology All Important Topics


  1. Microbiology Introduction and History of Medical Microbiology

  2. Pasteur, Koch, Lister

  3. Structure of Viruses

  4. Viral genetics

  5. Virus Culture

  6. Viral Diseases

  7. Bacteria Structure Culture

  8. Bacterial Genetics

  9. Bacterial Diseases

  10. Protozoan microbiology

  11. Pathogenecity of Microorganisms

  12. Antimicrobial Resistance

  13. Antibiotics and Chemotherapy

  14. AIDS – HIV
Categories
12th Zoology

Virus Culture

Virus Culture

Cultivation (culture) of Animal viruses (Virus Culture)

Viruses can grow only in living cells. However the culture of viruses
is possible nowadays. The most economical and convenient method of
cultivating a wide variety of animal viruses is the ‘chicken embryo technique’.
In this technique, fertile chicken eggs incubated for 5 to 12 days are
inoculated with the virus particles through the shell, aseptically. The opening
may be sealed with paraffin wax. The eggs incubated at 36oC are ideal sources
for the growth of viruses.

Chick embryos contain several different types of cells in which
various viruses will undergo replication. The yolk sac is a general ideal
medium for the growth of viruses.
Viral cultures are of three types viz., Primary cell cultures, diploid
cell strains and continuous cell lines.

1. Primary culture: Virus Culture

Primary cell culture are derived from normal tissue of an animal such
as mouse, hamster, chicken and monkey or a human being. When cells from
these tissues are processed and cultured the first monolayer is referred to as
the primary culture. A monolayer is a confluent layer of cells covering the
surface of a culture vessel.

2. Diploid cell strain: Virus Culture

Diploid cell strains are derived by primary cell cultures from a
specific tissues like lung or kidney which is of embryonic origin. These
diploid cells are the most employed host of choice for the production of
human vaccine virus.

3. Continuous cell lines: Virus Culture

Continuous cell lines are capable of an infinite number of doublings.
Such cell lines may arise with the mutation of a cell strain or more commonly from the established cell cultures from malignant tissue. Many viruses, which
are difficult or impossible to grow have been cultured in continuous cell lines.

Related Topics in Zoology:

Bio Zoology All Important Topics


  1. Microbiology Introduction and History of Medical Microbiology

  2. Pasteur, Koch, Lister

  3. Structure of Viruses

  4. Viral genetics

  5. Virus Culture

  6. Viral Diseases

  7. Bacteria Structure Culture

  8. Bacterial Genetics

  9. Bacterial Diseases

  10. Protozoan microbiology

  11. Pathogenecity of Microorganisms

  12. Antimicrobial Resistance

  13. Antibiotics and Chemotherapy

  14. AIDS – HIV
Categories
12th Zoology

Viral genetics

Viral genetics

The viral genome contains all the genetic information either as DNA
or RNA. but never both. The proportion of nucleic acid in a virion varies
from 1 % as in influenza virus to about 50%, as in certain phages. Smaller
viruses like paraviruses may have 3 to 4 genes while larger viruses like
herpes and pox may have several hundred genes. Viral genetics

Virions contain only a single copy of the nucleic acid. Hence they are called haploid viruses. The only exception is the retroviruses, which are said to be diploid as they contain two identical single-stranded RNA genomes. The virions are called the infectious particles. Viral genetics

The structure of nucleic acid in the virion may be either linear or
circular. The DNA of most animal viruses in a linear molecule. In some plant
viruses the genome is a circular RNA. But the RNA in animal viruses exists
only as linear double stranded or single stranded molecule. Viral genetics

Related Topics in Zoology:

Bio Zoology All Important Topics


  1. Microbiology Introduction and History of Medical Microbiology

  2. Pasteur, Koch, Lister

  3. Structure of Viruses

  4. Viral genetics

  5. Virus Culture

  6. Viral Diseases

  7. Bacteria Structure Culture

  8. Bacterial Genetics

  9. Bacterial Diseases

  10. Protozoan microbiology

  11. Pathogenecity of Microorganisms

  12. Antimicrobial Resistance

  13. Antibiotics and Chemotherapy

  14. AIDS – HIV
Categories
12th Zoology

Structure of Viruses

Viruses

Structure of Viruses :- Viruses are infectious agents. They are much smaller than the bacteria. Their approximate size ranges from 20 to 300 nm. Viruses are
incapable of independent growth in artificial media. They can grow only in
animal or plant cells or in microorganisms. Hence they are referred to as
obligate intracellular parasites. They reproduce in these cells by replication.

Replication is a process in which many copies or replicas of the viral
component are assembled and made to represent the progeny. They lack
metabolic machinery of their own to generate energy or to synthesize
proteins. They depend on the host cells to carry out these vital functions. The
bacterial viruses are called bacteriophages. These viruses infect the
bacteria and multiply inside the bacterial body and cause the lysis of bacteria
(lytic cycle) or integrate themselves with the bacterial genome (lysogeny).

Structure of Viruses:

Animal and plant viruses are composed of a central core of nucleic
acids surrounded by a protein covering called capsid. The capsid is made up
of units called capsomeres. Viruses exhibit a characteristic symmetry,

1. Spherical viruses are isohedral, 2. Rod shaped viruses are helical in
symmetry. Certain group of viruses are complex in symmetry.

Some animal viruses, in addition to the nucleocapsid structure
contain an outer membrane like structure called the envelope. The envelope
is made up of lipoproteins. The envelope conceals the symmetry of viruses.
Virions with envelopes are sensitive to lipid solvents such as ether and
chloroform. On the other hand, the naked virions are not affected by the
lipid solvents.

Isohedral viruses such as adeno viruses, SV15, polio viruses and
blue tongued viruses are spherical in shape and their surface is a lattice with
identical triangular units.

Helical surface symmetry and structure are characteristic of tobacco
mosaic virus(TMV) and animal viruses that cause diseases such as measles,
mumps, influenza and rabies. In these, the nucleo capsid is a flexible
structure packed within a fringed lipoprotein envelope. The fringes are made
of glycoproteins. In TMV the nucleic acid core is covered by a capsid
consisting of closely packed capsomeres arranged in a helix.

Complex or uncertain symmetry is seen in Pox viruses, T-bacteriophages,.
These have different proteins and lipoproteins.

Related Topics in Zoology:

Bio Zoology All Important Topics


  1. Microbiology Introduction and History of Medical Microbiology

  2. Pasteur, Koch, Lister

  3. Structure of Viruses

  4. Viral genetics

  5. Virus Culture

  6. Viral Diseases

  7. Bacteria Structure Culture

  8. Bacterial Genetics

  9. Bacterial Diseases

  10. Protozoan microbiology

  11. Pathogenecity of Microorganisms

  12. Antimicrobial Resistance

  13. Antibiotics and Chemotherapy

  14. AIDS – HIV
Categories
question bank

EC8393 Question Bank Fundamentals of Data Structures in C

EC8393 Question Bank Fundamentals of Data Structures in C

EC8393 Question Bank Fundamentals of Data Structures in C Regulation 2017 Anna University free download. Fundamentals of Data Structures in C Question Bank EC8393 pdf free download.

Sample EC8393 Question Bank Fundamentals of Data Structures in C

1 Distinguish between high level language and low level language.
BTL -4
Analyzing

2 Compare the Compiler and Interpreter.
BTL -2
Understanding

3 Define programming language.
BTL -1
Remembering

4 Tell the use of return type of printf() & scanf().
BTL -1
Remembering EC8393 Question Bank Fundamentals of Data Structures in C

5 Assess what operation is performed when the %f, %e and %g format specifies are used to display the value.
BTL -5
Evaluating

6 What is a variable?
BTL -1
Remembering EC8393 Question Bank Fundamentals of Data Structures in C

7 Compare and contrast the prefix and postfix forms of the ++ operator.
BTL -2
Understanding

8 Distinguish the terms Break and Continue.
BTL -4
Analyzing

9 Name the use of EOF.
BTL -1
Remembering

10 Explain the various form of looping statement.
BTL -5
Evaluating EC8393 Question Bank Fundamentals of Data Structures in C

11 Create a C code to print the text “Data Structures” using the arrays.
BTL -6
Creating

12 Write the syntax of array declaration with an example.
BTL -3
Applying

13 Identify the purpose of null statement.
BTL -3
Applying EC8393 Question Bank Fundamentals of Data Structures in C

14 Analyze the need of null character at the end of string.
BTL -4
Analyzing

15 Discuss the types of I/O statements available in C.
BTL -6
Creating

16 How would you initialize the size of an array.
BTL -1
Remembering

17 Show the declaration of a string.
BTL -2
Understanding

18 Identify the features of array.
BTL -3
Applying EC8393 Question Bank Fundamentals of Data Structures in C

19 Show the c code that narrates the difference between do-while

 

Subject name Fundamentals of Data Structures in C
Semester 3
Subject Code EC8393
Regulation 2017 regulation

EC8393 Question Bank Fundamentals of Data Structures in C Click Here To Download

EC8393 Syllabus Fundamentals of Data Structures in C


EC8393 Notes Fundamentals of Data Structures in C


EC8393 Important Questions Fundamentals of Data Structures in C

Categories
Important question

EC8393 Important 16 mark Questions Fundamentals of Data Structures in C

EC8393 Important 16 Mark Questions Fundamentals of Data Structures in C

EC8393 Important 16 mark Questions Fundamentals of Data Structures in C Regulation 2017 Anna University free download. Fundamentals of Data Structures in C Important 16 mark Questions EC8393 pdf free download.

Sample EC8393 Important 16 mark Questions Fundamentals of Data Structures in C

1Explain the constants, expressions and statements in C. (13)
BTL -2
Understanding EC8393 Important 16 mark Questions Fundamentals of Data Structures in C

2i ) Compare various types of operators in C. (6)
ii) List and explain the various data types in C (7)
BTL -4
Analyzing EC8393 Important 16 mark Questions Fundamentals of Data Structures in C

3Describe the structure of a C program with an example. (13)
BTL -1
Remembering

4i) Write a Program to find the area and circumference of a
circle with radius r. (6)
ii) Write a program to find the sum of first 100 integers. (7)
BTL -1
Remembering EC8393 Important 16 mark Questions Fundamentals of Data Structures in C

5i) Write a C program to find whether the given year is leap year or not. (7)
ii) Write a C program to find whether the given number is palindrome or not using C. (6)
BTL -1
Remembering EC8393 Important 16 mark Questions Fundamentals of Data Structures in C

6Compose a program to narrate about ‘for’, ‘while’ and ‘do while’ looping statements. (13)
BTL -6
Creating

7i) Assess C code for the reverse of a number. (7)
ii) Write a C program to determine the roots of quadratic equation. (6)
BTL -5
Evaluating EC8393 Important 16 mark Questions Fundamentals of Data Structures in C

8i) Summarize the need of array variables. Describe it with
respect to arrays. Declaration of array & initialization. (6)

ii) Demonstrate a Program to reorder a one dimensional
array. (7)
BTL- 2
Understanding

9What is a two dimensional array explain its initialization? (13)
BTL -1
Remembering EC8393 Important 16 mark Questions Fundamentals of Data Structures in C

10i) Develop a C program for performing Matrix operations. (6)
ii) Identify and explain the various ways of reading and writing string in c. (7)
BTL- 3
Applying

11 Distinguish Two dimensional and one dimensional array and explain it with example. And initialize it with example. (13)
BTL- 4
Analyzing

12 Write and explain a C program to find the given number is palindrome or not without using string function. (13)
BTL-2
Understanding EC8393 Important 16 mark Questions Fundamentals of Data Structures in C

13 Write Short note on the following with examples
i) String and character array . (6)
ii) String input & output. (7)
BTL -3
Applying

14 Analyze the various string functions with example.

 

Subject name Fundamentals of Data Structures in C
Semester 3
Subject Code EC8393
Regulation 2017 regulation

EC8393 Important 16 mark Questions Fundamentals of Data Structures in C Click Here To Download

EC8393 Syllabus Fundamentals of Data Structures in C


EC8393 Notes Fundamentals of Data Structures in C


EC8393 Question Bank Fundamentals of Data Structures in C

Categories
question bank

MA8352 Question Bank Linear Algebra and Partial Differential Equations

MA8352 Question Bank Linear Algebra and Partial Differential Equations

MA8352 Question Bank Linear Algebra and Partial Differential Equations Regulation 2017 Anna University free download. Linear Algebra and Partial Differential Equations Question Bank MA8352 pdf free download.

Sample MA8352 Question Bank Linear Algebra and Partial Differential Equations:

1.If ????:????→???? be a linear transformation then prove that ????(0)=0′ where 0 and 0′are the zero elements of V and W respectively
BTL3 Applying MA8352 Question Bank Linear Algebra and Partial Differential Equations

2.If ????:????→???? be a linear transformation then prove that ????(−????)=−???? for ????∈????
BTL3 Applying

3.If ????:????→???? be a linear transformation then prove that ????(????−????)=????−???? for all ????,????∈????
BTL3 Applying MA8352 Question Bank Linear Algebra and Partial Differential Equations

4.Prove that the transformation T is linear if and only if ????(????????+????)=????????(????)+????(????)
BTL3 Applying MA8352 Question Bank Linear Algebra and Partial Differential Equations

5.Illustrate that the transformation ????:????2→????2 defined by ????(????1,????2)=(2????1+????2,????2) is linear
BTL2 Understanding MA8352 Question Bank Linear Algebra and Partial Differential Equations

6.Evaluate that the transformation ????:????3→????2 defined by by
????(????1,????2,????3)=(????1−????2,????1−????3) is linear

7.Describe explicitly the linear transformation ????:????2→????2such that ????(2,3)=(4,5)???????????? ????(1,0)=(0,0)
BTL1 Remembering MA8352 Question Bank Linear Algebra and Partial Differential Equations

8.Illustrate that the transformation ????:????2→????3defined by ????(????,????)=(????+1,2????,????+????) is not linearBTL2Understanding

9.Is there a linear transformation ????:????3→????3such that ????(1,0,3)=(1,1)and ????(−2,0,−6)=(2,1)?
BTL5 Evaluating MA8352 Question Bank Linear Algebra and Partial Differential Equations

10.Examine whether ????:????2→????2 given below are linear or not. If not state why T is not linear? a) ????(????1,????2)=(????1+1,????2) b)????(????1,????2)=????????????????1+0
BTL4Analyzing

11.Define matrix representation of T relative to the usual basis {ei}
BTL1Remembering

12.Find the matrix [T]e whose linear operator ???????? ????(????,????)=(5????+????,3????−2????)
BTL2Understanding

13.Find the matrix representation of T whose basis is ????1=(1,2) ????2=(2,3) such that ????(????,????)=(2????,3????−????)
BTL2Understanding

14.Define diagonalizable of a matrix with linear operator T.
BTL1Remembering

15.Find the matrix representation of usual basis {ei} to the linear operator ????(????,????,????)=(2????+????,????−4????,3????)
BTL2Understanding

16.Define eigen value and eigen vector of linear operator T.
BTL1Remembering

17.State Cayley-Hamilton Theorem
BTL1Remembering

18.Find f(A) where ????=(1−245) and ????(????)=????3−3????+7
BTL2Understanding

19.Find the matrix A whose minimum polynomial is ????3−5????2+6????+8.
BTL2Understanding MA8352 Question Bank Linear Algebra and Partial Differential Equations

20.Suppose ???? is an eigen value of an invertible operator T. Show that ????−1 is an eigen value of ????−1.

 

Subject name Linear Algebra and Partial Differential Equations
Semester 3
Subject Code MA8352
Regulation 2017 regulation

MA8352 Questions Bank Linear Algebra and Partial Differential Equations Click Here to download

MA8352 Important Questions Linear Algebra and Partial Differential Equations


MA8352 Syllabus Linear Algebra and Partial Differential Equations


MA8352 Notes Linear Algebra and Partial Differential Equations


 

Categories
Important question

MA8352 Important 16 Mark Questions Linear Algebra and Partial Differential Equations

MA8352 Important 16 mark Questions Linear Algebra and Partial Differential Equations

MA8352 Important 16 Mark Questions Linear Algebra and Partial Differential Equations Regulation 2017 Anna University free download. Linear Algebra and Partial Differential Equations Important 16 Mark Questions MA8352 pdf free download.

Sample MA8352 Important 16 Mark Questions Linear Algebra and Partial Differential Equations:

1.(a) In any vector space ????, prove that the following statements are true :
i) 0.????=0 for each ????∈????
ii) (−????)????=−(????????) for each ????∈???? and each ????∈????
iii) ????.0=0 for each ????∈????
BTL3Applying

1. (b)Let ???? be the set of all polynomials of degree less than or equal to n with real coefficients. Show that ???? is a vector space over???? with respect to polynomial addition and usual multiplication of real numbers with a polynomial.
BTL3Applying MA8352 Important 16 Mark Questions Linear Algebra and Partial Differential Equations

2. (a)If ????,???? and ???? are vectors in a vector space ???? such that ????+????=????+???? then prove that ????=????
ii) The vector 0 (identity) is unique
iii) The additive identity for any ????∈???? is unique
BTL4Analyzing

2.(b)Point out that the set of all ????×???? matrices with entries from a field F is a vector space denoted as ????????×????(????) with the operations of matrix addition and scalar multiplication is a vector space
BTL4Analyzing MA8352 Important 16 Mark Questions Linear Algebra and Partial Differential Equations

3. (a)Let ???? be a vector space and ???? a subset of????. Prove that???? is a subspace of ???? if and only if the following three conditions hold for the operations defined in????:
i) 0∈????ii) ????+????∈???? whenever ????∈???? and ????∈????
iii) ????????∈???? whenever ????∈???? and ????∈????

3.(b)Evaluate that the set of all real valued continuous (differentiable or integrable) functions of ???? defined in some interval [0,1] is a vector space.
BTL5Evaluating MA8352 Important 16 Mark Questions Linear Algebra and Partial Differential Equations

4. (a)i) Prove that any intersection of subspaces of a vector space ???? is a subspace of ????
ii) Prove that the union of two subspaces is not necessarily a subspace
BTl3Applying

4.(b)Analyse that the set of all convergent sequences is a vector space over the field of real numbers
BTL4 Analyzing MA8352 Important 16 Mark Questions Linear Algebra and Partial Differential Equations

5. (a)Describe that the union of two subspaces ????1 and ????2 is a subspace if and only if one is contained in the other
BTL1 Remembering

5.(b)Illustrate that set of all diagonal matrices of order ????×???? is a subspace of the vector space ????????×????(????), where ????????×???? is the set of all square matrices over the field FBTL2 Understanding MA8352 Important 16 Mark Questions Linear Algebra and Partial Differential Equations

6. (a)Prove that the span of any subset ???? of a vector space ???? is a subspace of ????. Moreover, any subspace of ???? that contains ???? must also contain the span of ????
BTL3Applying

6.(b)Evaluate that ????1={(????1,????2,…????????)∈????????;????1+????2+⋯+????????=0} is a subspace of ???????? and ????2={(????1,????2,…????????)∈????????;????1+????2+⋯+????????=1} is not a subspace
BTL5Evaluating MA8352 Important 16 Mark Questions Linear Algebra and Partial Differential Equations

7. (a)Prove that the span of any subset S of a vector space ???? is the smallest subspace of ???? containing????.

 

Subject name Linear Algebra and Partial Differential Equations
Semester 3
Subject Code MA8352
Regulation 2017 regulation

MA8352 Important 16 Mark Questions Linear Algebra and Partial Differential Equations Click Here to download

MA8352 Important 2 Mark Questions Linear Algebra and Partial Differential Equations


MA8352 Syllabus Linear Algebra and Partial Differential Equations


MA8352 Notes Linear Algebra and Partial Differential Equations


MA8352 Questions Bank Linear Algebra and Partial Differential Equations

Categories
Important question

MA8352 Important Questions Linear Algebra and Partial Differential Equations

MA8352 Important Questions Linear Algebra and Partial Differential Equations

MA8352 Important Questions Linear Algebra and Partial Differential Equations Regulation 2017 Anna University free download. Linear Algebra and Partial Differential Equations Important Questions MA8352 pdf free download.

Sample MA8352 Important Questions Linear Algebra and Partial Differential Equations

1. Define Vector Space BTL1 Remembering

2. Define Subspace of a vector space BTL1 Remembering

3. State the necessary and sufficient condition for a subset of a vector space to be subspace BTL1 Remembering

4. Do the polynomials ????3−2????2+1,4????2−????+3 and 3????−2 generate ????3(????)? Justify your answer. BTL2 Understanding MA8352 Important Questions Linear Algebra and Partial Differential Equations

5. Is {(1,4,−6),(1,5,8),(2,1,1),(0,1,0)} is a linearly independent subset of ????3 ? Justify your answer BTL2 Understanding

6. The vectors ????1=(2,−3,1),????2=(1,4,−2),????3=(−8,12,−4),????4=(1,37,−17) and ????5=(−3,−5,8) generate ????3. Find a subset of the set {????1,????2,????3,????4,????5} that is a basis for ????3 BTL3 Applying

7. Let ???? and ???? be distinct vectors of a vector space ????. Show that if {????,????} is a basis for ???? and ???? and ???? are non-zero scalars, then both {????+????,????????} and {????????,????????} are also bases for ???? BTL3 Applying MA8352 Important Questions Linear Algebra and Partial Differential Equations

8. Write the vectors ????=(1,−2,5) as a linear combination of the vectors ????=(1,1,1),????=(1,2,3) and ????=(2,−1,1) BTL2 Understanding

9. Show that the set of all polynomials in one variable over a field F of degree less than or equal to n is a subspace of the vector space of all polynomials over F
BTL3 Applying

10. Determine whether the set W={(????1,????2,????3)????????3:????1+2????2-3????3=1}
is a subspace of ????3 under the operations of addition and scalar multiplication.
BTL2 Understanding

11. Determine whether ????=(4,−7,3) can be written as a linear combination of ????1=(1,2,0) and ????2=(3,1,1) in ????3 BTL2 Understanding

12. For which value of k will the vector ????=(1,−2,????) in ????3 be a linear combination of the vectors ????=(3,0,−2) and ????=(2,−1,5)? BTL3 Applying MA8352 Important Questions Linear Algebra and Partial Differential Equations

13. Determine whether the set ????1={(????1,????2,????3)∈????3∶ ????1=????3+2} is a subspace of ????3 under the operations of addition and scalar multiplication defined on ????3.

 

Subject name Linear Algebra and Partial Differential Equations
Semester 3
Subject Code MA8352
Regulation 2017 regulation

MA8352 Important Questions Linear Algebra and Partial Differential Equations Click Here to download

MA8352 Important 16 Mark Questions Linear Algebra and Partial Differential Equations


MA8352 Syllabus Linear Algebra and Partial Differential Equations


MA8352 Notes Linear Algebra and Partial Differential Equations


MA8352 Questions Bank Linear Algebra and Partial Differential Equations