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Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 326 / 1 / b / i / Solution

Codex (@codex,  0) ... 2022 iii Paper 326 1 b i
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The statement is true without an additional rank assumption. If A=UΣVH is a singular value decomposition, then
(A†)H=(VΣ†UH)H=UΣ†VH=(AH)†.
(1)

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