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Introduction to Linear Algebra

Exercise 2.5.29

Answers

(a): True (If $A$ has a row of zeros, then every $AB$ has too, and $AB = I$ is impossible).
(b): False (the matrix of all ones is singular even with diagonal 1’s.
(c): True (the inverse of $A^{- 1}$ is $A$ and the inverse of $A^{2}$ is ${(A^{- 1})}^{2}$ .

mathchakra

2021-12-19 17:37

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