Let T: R - R be a linear transformation such that T(1, 0, 0) - (2, -1, 4), T(0, 1, 0) - (1, -2, 3), and T(0, 0, 1) = (-2, 0, 2). Find the indicated image. T(1, -4, 2) T(1, -4, 2) - |(-10,18, – 6)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
Problem 23E: Let T be a linear transformation from R2 into R2 such that T(1,0)=(1,1) and T(0,1)=(1,1). Find...
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Let T: R
R' be a linear transformation such that T(1, 0, 0) - (2, -1, 4), T(0, 1, 0) = (1, -2, 3), and T(0, 0, 1) = (-2, 0, 2). Find the indicated image.
T(1, -4, 2)
T(1, -4, 2) -
(-10,18, – 6)
Transcribed Image Text:Let T: R R' be a linear transformation such that T(1, 0, 0) - (2, -1, 4), T(0, 1, 0) = (1, -2, 3), and T(0, 0, 1) = (-2, 0, 2). Find the indicated image. T(1, -4, 2) T(1, -4, 2) - (-10,18, – 6)
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