Linear Algebra and Its Applications (5th Edition)

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

Chapter 2 - Matrix Algebra - 2.1 Exercises - Page 103: 20

Answer

The second column of AB is zero.

Work Step by Step

We are not told the sizes of A and B, but the assumption of the problem is that the matrices have a product AB. By setting up an arbitrary matrix, it is clear that the second column of AB is comprised of all 0s; this is because each value of the row of A will be multiplied by 0 to fill the second column of AB with zeroes.
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