1 let a be a symmetric positive semidefinite matrix of, Basic Statistics

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1 let a be a symmetric positive semidefinite matrix of

1. Let A be a symmetric positive semidefinite matrix of order n X n. Show that v'Av = 0 if and only if Av = 0.

2. Show that tr (A'A) = 0 if and only if A = 0.

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