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# Let L j L,. and L3 be linear transformations of R3 into R, defined by LI ([ II , '"

ISBN: 9780132296540 301

## Solution for problem 10 Chapter 6.4

Elementary Linear Algebra with Applications | 9th Edition

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Elementary Linear Algebra with Applications | 9th Edition

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Problem 10

Let L j L,. and L3 be linear transformations of R3 into R, defined by LI ([ II , '" Ill]) = [:1, +lI ~ lI , - II)] . Ld[1I 1 II, lIJ]) = [ il l - II, 11 3] . and LJ([ " l II, lIJ])=[il l li Z + 11 3]. Prove that S = iLl. L,. LJ ) is a linearly independent set 111 the vector space U of all linear transformations of R3 mto R,.

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