Question 2.4.11: (3 by 3 matrices) Choose the only B so that for every matrix...

(3 by 3 matrices) Choose the only B so that for every matrix A
(a) BA = 4A
(b) BA = 4B
(c) BA has rows 1 and 3 of A reversed and row 2 unchanged
(d) All rows of BA are the same as row 1 of A.

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(a) B=4I

(b) B=0

(c) B=\left[ \begin{matrix} 0 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 0 \end{matrix} \right]

(d) Every row of B is 1, 0, 0.

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