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. T(X1 X2 X3) = (x1 - 4x₂ + 5x3, x2-3x3) A = (Type an integer or decimal for each matrix element.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 13E
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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.
T(X1 X2 X3) = (x1 - 4x₂ + 5x3, x2-3x3)
A =
(Type an integer or decimal for each matrix element.)
Transcribed Image Text: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. T(X1 X2 X3) = (x1 - 4x₂ + 5x3, x2-3x3) A = (Type an integer or decimal for each matrix element.)
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