Find the general polynomial output is a linear transformation with T ¹8- T -1 = in terms of a, b, c, anc 1 1] 1 -2x² + 4x-8, and T = [88] 3x² - 6x +8, T = 2x² - 4x + 6.

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 5CM: Find the kernel of the linear transformation T:R4R4, T(x1,x2,x3,x4)=(x1x2,x2x1,0,x3+x4).
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a
2. Find the general polynomial output in terms of a, b, c, and d of T
1
[89]
is a linear transformation with T
T
= -2x² + 4x - 8, and T
= 3x² - 6x + 8, T
= 2x² - 4x + 6.
when T: M22 → P2
= 12x² - 24x + 40,
Transcribed Image Text:a 2. Find the general polynomial output in terms of a, b, c, and d of T 1 [89] is a linear transformation with T T = -2x² + 4x - 8, and T = 3x² - 6x + 8, T = 2x² - 4x + 6. when T: M22 → P2 = 12x² - 24x + 40,
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