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Let Tbe an invertible transformation. Use the linearity of T to prove that if (a) T(ui)

Linear Algebra with Applications | 8th Edition | ISBN: 9781449679545 | Authors: Gareth Williams ISBN: 9781449679545 435

Solution for problem 9 Chapter 4.9

Linear Algebra with Applications | 8th Edition

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Linear Algebra with Applications | 8th Edition | ISBN: 9781449679545 | Authors: Gareth Williams

Linear Algebra with Applications | 8th Edition

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Problem 9

Let Tbe an invertible transformation. Use the linearity of T to prove that if (a) T(ui) = Vi and T(u2) = v2, then r i (vi + v2) = ui + u2 (b) T(u) = v and c is a scalar, then T-i ( cv) = cu. (These confirm thatT-i is indeed linear.)

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Chapter 4.9, Problem 9 is Solved
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Textbook: Linear Algebra with Applications
Edition: 8
Author: Gareth Williams
ISBN: 9781449679545

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Let Tbe an invertible transformation. Use the linearity of T to prove that if (a) T(ui)