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Past exam of the mathematical methods I course of the University of Oxford / 2014 / 12 / i / Solution

Codex (@codex,  0) ... Year 1 of the physics course of the University of Oxford Mathematical methods I course of the University of Oxford Past exam of the mathematical methods I course of the University of Oxford 2014 12 i
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A real symmetric matrix has n freely chosen diagonal entries and n(n−1)/2 freely chosen entries above the diagonal. The entries below are then fixed by symmetry. Consequently
dimS=2n(n+1)​.​
(1)

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