Linear Algebra and Its Applications (5th Edition)

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

Chapter 2 - Matrix Algebra - 2.3 Exercises - Page 117: 11

Answer

$a.\quad $True $b.\quad $True $c.\quad $False $d.\quad $True $e.\quad $True

Work Step by Step

We compare the statements with (a) to (l) statements of Theorem 8 and rewrite each. When we write If (x) is true... we mean: If statement (x) in Th.8 is true ... $a.\quad $ If (d) is true then (b) is true ... TRUE $b.\quad $ If (h) is true then (e) is true ... TRUE $c.\quad $ This (statement g) is true only for invertible matrices, not for any matrix. FALSE $d.\quad $ If (d) is not true then (c) is not true ... TRUE $e.\quad $ If (l) is not true then (a) is not true ... TRUE
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