7. Show that T is a linear transformation by finding a matrix that implements the mapping. Note that x₁ and x2 are not vectors but are entries in vectors: T(x1, x2) = (2x2 — 3x1, x₁ — 4x2, 0, x₂)

7. Show that T is a linear transformation by finding a matrix that implements the mapping. Note that x₁ and x2 are not vectors but are entries in vectors: T(x1, x2) = (2x2 — 3x1, x₁ — 4x2, 0, x₂)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.8: Determinants

Problem 8E

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Question

7. Show that T is a linear transformation by finding a matrix that implements the mapping. Note
that x₁ and x2 are not vectors but are entries in vectors:
T(x1, x2) = (2x2 — 3x1, x₁ — 4x2, 0, x₂)

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