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
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