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Exercise 1.11.10

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Let $B = A^{T}$ and $C = A^{T} A$ , so we have $c_{ii} = \sum_{k = 1}^{n} b_{ik} a_{ki} = \sum_{k = 1}^{n} a_{ki} a_{ki} = \sum_{k = 1}^{n} a_{ki}^{2}$ $(A, A) = trace (A^{T}, A) = \sum_{i = 1}^{n} c_{ii} = \sum_{i = 1}^{n} \sum_{k = 1}^{n} a_{ki}^{2} = | A |_{F}^{2}$

niuers

2020-03-20 00:00

Exercise 1.11.10

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