Show that the transformation Y = 2x, + x, + Xg» Y2 = X; + Xg + 2x, ys = x, - 2r, is regular. Write down the inverse transformation.

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 5CM: Find the kernel of the linear transformation T:R4R4, T(x1,x2,x3,x4)=(x1x2,x2x1,0,x3+x4).
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Show that the transformation
Y = 2x, + xg + X3 Y2 = Xz + Xg + 2x ys = x,- 2rg
is regular. Write down the inverse transformation.
Transcribed Image Text:Show that the transformation Y = 2x, + xg + X3 Y2 = Xz + Xg + 2x ys = x,- 2rg is regular. Write down the inverse transformation.
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