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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