Suppose T: M2,2→P2 is a linear transformation whose action on a basis for M2,2 is as follows: 01 1 0 0 -1 [9] 711]=x²+3x+2 1=1=2x²- 0 -1 -1 Describe the action of T on a general matrix, using x as the variable for the polynomial and a, b, c, and d as constants. Use the character to indicate an exponent, e.g. ax^2-bx+c. a b d = -2x²-2x+2 T = 0 = -2x²+4

Suppose T: M2,2→P2 is a linear transformation whose action on a basis for M2,2 is as follows: 01 1 0 0 -1 [9] 711]=x²+3x+2 1=1=2x²- 0 -1 -1 Describe the action of T on a general matrix, using x as the variable for the polynomial and a, b, c, and d as constants. Use the character to indicate an exponent, e.g. ax^2-bx+c. a b d = -2x²-2x+2 T = 0 = -2x²+4

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 17CM

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