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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

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