Consider the following. T(X1 X2 X3 X4) = (X1 X2, X3, X₁ + 2x₂ - X4 X4), v = (-1, -1, 0, 1) (a) Find the standard matrix A for the linear transformation T. 11 (b) Use A to find the image of the vector v. Use a software program or a graphing utility to verify your result. T(v) =

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 11CM
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Consider the following.
T(X1 X2 X3 X4) = (X1 X2, X3, X₁ + 2x2 - X4 X4), v = (-1,-1, 0, 1)
(a) Find the standard matrix A for the linear transformation T.
A =
1
==>
N
(b) Use A to find the image of the vector v. Use a software program or a graphing utility to verify your result.
T(v) =
Transcribed Image Text:Consider the following. T(X1 X2 X3 X4) = (X1 X2, X3, X₁ + 2x2 - X4 X4), v = (-1,-1, 0, 1) (a) Find the standard matrix A for the linear transformation T. A = 1 ==> N (b) Use A to find the image of the vector v. Use a software program or a graphing utility to verify your result. T(v) =
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