Suppose T: M2,2→P2 is a linear transformation whose action is defined bya b(-3b+3c+3d)x² +(5b−5c−5d)x+(a−3b)сGive a basis for the kernel of T and the image of T by choosing which of the original vector spaces each is a subset of, and then giving a set of appropriate vectors. If one ofyour bases contains polynomials, give your answer as a comma-separated list of polynomials, using the '^' character to indicate an exponent and x as the variable, e.g.5x^2-2x+1Basis of Kernel is a Subset of M2,2Number of Matrices: 1BkerBimBasis of Image is a Subset of P2000=

This question is related to linear transformation.

Suppose T: M2,2-P2 is a linear transformation whose action is defined by a b T c d = (-3b+3c+3d)x² +(5b-5c-5d)x+(a−31 Give a basis for the kernel of T and the image of T by choosing which of the original vector spaces each is a subset of, and then giving a set of appropriate vectors. If one your bases contains polynomials, give your answer as a comma-separated list of polynomials, using the character to indicate an exponent and x as the variable, e.g. 5x^2-2x+1 Basis of Kernel is a Subset of M2,2 Number of Matrices: 1 Bker = 00 00 Basis of Image is a Subset of P2 Bim = 0

Suppose T: M2,2-P2 is a linear transformation whose action is defined by a b T c d = (-3b+3c+3d)x² +(5b-5c-5d)x+(a−31 Give a basis for the kernel of T and the image of T by choosing which of the original vector spaces each is a subset of, and then giving a set of appropriate vectors. If one your bases contains polynomials, give your answer as a comma-separated list of polynomials, using the character to indicate an exponent and x as the variable, e.g. 5x^2-2x+1 Basis of Kernel is a Subset of M2,2 Number of Matrices: 1 Bker = 00 00 Basis of Image is a Subset of P2 Bim = 0

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 11CM

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