Linear Algebra and Its Applications (5th Edition)

Published by Pearson
ISBN 10: 032198238X
ISBN 13: 978-0-32198-238-4

Chapter 4 - Vector Spaces - 4.4 Exercises - Page 225: 18

Answer

See solution

Work Step by Step

The B-coordinate vectors of $b_1...b_n$ are the columns of the n by n identity matrix because the kth vector $b_k$ is equal to 0 times the B coordinate vectors $b_1...b_{k-1}$ and $b_{k+1}...b_n$ and 1 times $b_k$.
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