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Suppose T: M2,2→P3 is a linear transformation. Let A, B, and C be the matrices given below, and suppose that T(A) and T(B) are as given. Find T(C). Use the character to indicate an exponent, e.g. 5x^2-2x+1. A = 3-2 2 1 T(C) = 0 B = 6-2 64 C= 21-8 20 13 T(A) = 7x³+4x²-3x+3 T(B) = 6x³ +12x²

Suppose T: M2,2→P3 is a linear transformation. Let A, B, and C be the matrices given below, and suppose that T(A) and T(B) are as given. Find T(C). Use the character to indicate an exponent, e.g. 5x^2-2x+1. A = 3-2 2 1 T(C) = 0 B = 6-2 64 C= 21-8 20 13 T(A) = 7x³+4x²-3x+3 T(B) = 6x³ +12x²

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: M2,2→P3 is a linear transformation. Let A, B, and C be the matrices given below, and suppose that T(A) and T(B) are as given. Find T(C). Use the '^' character to indicate an exponent, e.g. 5x^2-2x+1. A = 3-2 2 1 T(C) = 0 B = 6 -2 64 C = 21 -8 20 13 T(A) = 7x³+4x²-3x+3 T(B) = 6x³ +12x²
Transcribed Image Text:Suppose T: M2,2→P3 is a linear transformation. Let A, B, and C be the matrices given below, and suppose that T(A) and T(B) are as given. Find T(C). Use the '^' character to indicate an exponent, e.g. 5x^2-2x+1. A = 3-2 2 1 T(C) = 0 B = 6 -2 64 C = 21 -8 20 13 T(A) = 7x³+4x²-3x+3 T(B) = 6x³ +12x²
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