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Suppose T: M2.2→P2 is a linear transformation whose action on a basis for M2 2 is as follows: 0 0 |0 3 1 1 3x2-12x+3 T 1 2 -2 -2 2x2 – 12x-1 = -4x2+12x-4 0 -2 -4x 1 0 0 3 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 %3D c d

Suppose T: M2.2→P2 is a linear transformation whose action on a basis for M2 2 is as follows: 0 0 |0 3 1 1 3x2-12x+3 T 1 2 -2 -2 2x2 – 12x-1 = -4x2+12x-4 0 -2 -4x 1 0 0 3 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 %3D c d

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Suppose T: M22→P2 is a linear transformation whose action on a basis for M2 2 is as follows: 2 -2 0 0 0 3 11 -4x2+12x-4 T| x2 4x 3x2 – 12x+3 T = 2x2 - 12x-1 0 -2 1 0 0 3 12 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 'A' character to indicate an exponent, e.g. ax^2-bx+c. a = 0 lса
Transcribed Image Text:Suppose T: M22→P2 is a linear transformation whose action on a basis for M2 2 is as follows: 2 -2 0 0 0 3 11 -4x2+12x-4 T| x2 4x 3x2 – 12x+3 T = 2x2 - 12x-1 0 -2 1 0 0 3 12 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 'A' character to indicate an exponent, e.g. ax^2-bx+c. a = 0 lса
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