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Suppose T: M₂,2→P2 is a linear transformation whose action on the standard basis for M22 is as follows: [:]- 0 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 = 0 c d T 00 = x²+3x-1 00 = -x²-3x+1 T 00 10 = x²+3x-1 = -2x²-3x+3

Suppose T: M₂,2→P2 is a linear transformation whose action on the standard basis for M22 is as follows: [:]- 0 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 = 0 c d T 00 = x²+3x-1 00 = -x²-3x+1 T 00 10 = x²+3x-1 = -2x²-3x+3

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Suppose T: M2,2→P2 is a linear transformation whose action on the standard basis for M2,2 is as follows: 10 00 T a = x²+3x-1 T c d 01 00 0 = -x -3x+1 00 10 x²+3x-1 T 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. 0 01 = -2x²-3x+3
Transcribed Image Text:Suppose T: M2,2→P2 is a linear transformation whose action on the standard basis for M2,2 is as follows: 10 00 T a = x²+3x-1 T c d 01 00 0 = -x -3x+1 00 10 x²+3x-1 T 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. 0 01 = -2x²-3x+3
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