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Linear Algebra and Learning from Data

Exercise 1.11.8

Answers

$A = B = I$ , $AB = I$ , $| A |_{F} = | B |_{F} = N$ , and $| AB |_{F} = N$ , so we have $| AB |_{F} \leq | A |_{F} | B |_{F}$ .
$A = B$ are all ones matrix, then $AB$ is all $N$ matrix. We have $| A |_{F} = | B |_{F} = N^{2}$ , $| AB |_{F} = N \times N^{2} = N^{3}$ . so $| AB |_{F} = N^{3} \leq | A |_{F} | B |_{F} = N^{4}$ .

niuers

2020-03-20 00:00

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