Let T be the linear transformation from M2,2 to the space of polynomials defined by: • Evaluate: b T = (a+b)x+c d T T 5 1 3 1 1 Based off these calculations, which of and 0 5 are in the null space of -1 3 T? • Name at least two specific polynomials which are in the image of T.

Let T be the linear transformation from M2,2 to the space of polynomials defined by: • Evaluate: b T = (a+b)x+c d T T 5 1 3 1 1 Based off these calculations, which of and 0 5 are in the null space of -1 3 T? • Name at least two specific polynomials which are in the image of T.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 6CM: Let T:R4R2 be the linear transformation defined by T(v)=Av, where A=[10100101]. Find a basis for a...

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Question

Let T be the linear transformation from M2,2 to the space of polynomials defined by:
• Evaluate:
b
T
= (a+b)x+c
d
T
T
5
1 3
1
1
Based off these calculations, which of
and
0
5
are in the null space of
-1 3
T?
• Name at least two specific polynomials which are in the image of T.

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