**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 |

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