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Introduction to Linear Algebra

Exercise 2.4.15

Answers

(a): True ( $A^{2}$ is only defined when $A$ is square).
(b): False (if $A$ is $m$ by $n$ and $B$ is $n$ by $m$ , then $AB$ is $m$ by $m$ and $BA$ is $n$ by $n$ .
(c): True by part (b).
(d): False (take $B = 0$ ).

mathchakra

2021-12-06 17:34

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