Give a linear transformation the takes the parallelepiped spanned by (2,1, 3), (1,0, 1), and (-2,2, –1) onto the unit cube [0, 1] × [0, 1] × [0, 1]. (Hint: Find the inverse of a linear transfor- mation.)

Elementary Linear Algebra (MindTap Course List)
8th Edition
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Author:Ron Larson
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 4CM
Question
Give a linear transformation the takes the parallelepiped spanned by (2, 1, 3), (1,0, 1), and
(-2,2, – 1) onto the unit cube [0, 1] × [0, 1] × [0, 1]. (Hint: Find the inverse of a linear transfor-
mation.)
Transcribed Image Text:Give a linear transformation the takes the parallelepiped spanned by (2, 1, 3), (1,0, 1), and (-2,2, – 1) onto the unit cube [0, 1] × [0, 1] × [0, 1]. (Hint: Find the inverse of a linear transfor- mation.)
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