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8-3) show that T is a linear transformation by finding a matrix that implements the mapping. Note that x1,x2,... are not vectors but are entries in vectors a) T(x1, x₂) = (2x2-3x1, x-4x2, 0, xz) b) T(x, xx, x, x) = 2x1 + 3x - 4x4 (TRR)

8-3) show that T is a linear transformation by finding a matrix that implements the mapping. Note that x1,x2,... are not vectors but are entries in vectors a) T(x1, x₂) = (2x2-3x1, x-4x2, 0, xz) b) T(x, xx, x, x) = 2x1 + 3x - 4x4 (TRR)

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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8-3) show that T is a linear transformation by finding a matrix that implements the mapping. Note that x1, x2,... are not vectors but are entries in vectors a) T(x1, x2) = (2x2-3x1, x1-4x2, 0, x2) b) T(x1, x2, x3, x4) = 2x1 + 3x - 4x4 (T:R* → R)
Transcribed Image Text:8-3) show that T is a linear transformation by finding a matrix that implements the mapping. Note that x1, x2,... are not vectors but are entries in vectors a) T(x1, x2) = (2x2-3x1, x1-4x2, 0, x2) b) T(x1, x2, x3, x4) = 2x1 + 3x - 4x4 (T:R* → R)
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