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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 X4) = (x₁+3x2, 0, 9x₂ + x4, X₂-x4) A= (Type an integer or decimal for each matrix element.)

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 X4) = (x₁+3x2, 0, 9x₂ + x4, X₂-x4) A= (Type an integer or decimal for each matrix element.)

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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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 X4) = (x1+3x2, 0, 9x2 + x4, X2-x4) 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 X4) = (x1+3x2, 0, 9x2 + x4, X2-x4) A= (Type an integer or decimal for each matrix element.)
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