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Let A = [ali ] be a given /II x I! matrix. and let V and IV be given vector spaces of

ISBN: 9780132296540 301

Solution for problem 13 Chapter 6.4

Elementary Linear Algebra with Applications | 9th Edition

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Problem 13

Let A = [ali ] be a given /II x I! matrix. and let V and IV be given vector spaces of dimensions II and /II, respeclively. LeI S = iVI. V, ..... 'n} be an ordered basis for V. and let T = (W I. ""2 .. .. . w"') be an ordered basis forIV. Define a function L : V -4 IV by. L(v;) = L al;w . i = 1.2 ..... 11.I=jand if ll: = (. j VI + Cl V, + ... + Cn V", we deline L(x) byL(x) = L c,L(Vi).;=1(a) Show that L is a linear transformation.(b) Show that A replesents L with respect to Sand T.

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ISBN: 9780132296540

The answer to “Let A = [ali ] be a given /II x I! matrix. and let V and IV be given vector spaces of dimensions II and /II, respeclively. LeI S = iVI. V, ..... 'n} be an ordered basis for V. and let T = (W I. ""2 .. .. . w"') be an ordered basis forIV. Define a function L : V -4 IV by. L(v;) = L al;w . i = 1.2 ..... 11.I=jand if ll: = (. j VI + Cl V, + ... + Cn V", we deline L(x) byL(x) = L c,L(Vi).;=1(a) Show that L is a linear transformation.(b) Show that A replesents L with respect to Sand T.” is broken down into a number of easy to follow steps, and 113 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 57 chapters, and 1519 solutions. Since the solution to 13 from 6.4 chapter was answered, more than 220 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 13 from chapter: 6.4 was answered by , our top Math solution expert on 01/30/18, 04:18PM. This textbook survival guide was created for the textbook: Elementary Linear Algebra with Applications, edition: 9. Elementary Linear Algebra with Applications was written by and is associated to the ISBN: 9780132296540.

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