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Suppose T: M2,2-P3 is a linear transformation whose action on a basis for M2,2 is as follows: 1(31)- 8x +11)- 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. 01 = 8x³+6x²+10x T - 00 = 0 [20]- = 4x³+3x²+4x+1 T -8x³-8x²-2 = 6x³+4x²+13x-4

Suppose T: M2,2-P3 is a linear transformation whose action on a basis for M2,2 is as follows: 1(31)- 8x +11)- 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. 01 = 8x³+6x²+10x T - 00 = 0 [20]- = 4x³+3x²+4x+1 T -8x³-8x²-2 = 6x³+4x²+13x-4

Elementary Linear Algebra (MindTap Course List)
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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Suppose T: M2,2→P3 is a linear transformation whose action on a basis for M₂,2 is as follows: 00 20 T 1 1 = 8x3+6x²+10x T 01 00 = 0 4x³+3x²+4x+1_T 11 -+(22)- -8x3-8x²-2 T 6x³+4x²+13x-4 Describe the action of I 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. b -{[4]- c d
Transcribed Image Text:Suppose T: M2,2→P3 is a linear transformation whose action on a basis for M₂,2 is as follows: 00 20 T 1 1 = 8x3+6x²+10x T 01 00 = 0 4x³+3x²+4x+1_T 11 -+(22)- -8x3-8x²-2 T 6x³+4x²+13x-4 Describe the action of I 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. b -{[4]- c d
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