Linear Algebra and Its Applications (5th Edition)

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

Chapter 4 - Vector Spaces - 4.7 Exercises - Page 245: 16

Answer

See solution

Work Step by Step

a. the vector $[\vec{b}_1]_B$ has a 1 on the first row and 0 on all other rows, meaning $Q[\vec{b}_1]_B$ will be the first column of matrix Q. b. $Q[\vec{b}_k]_B$ c. The vector $[\vec{b}_k]_B$ has 1 on the kth row and 0 on all other rows.
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