Question: Help with this question thank you Let A e 111 be symmetric. Prove that we can nd a symmetric matrix B 6 R with A

Help with this question thank you

$Help with this question thank you Let A e 111\"\"$

Let A e 111\"\" be symmetric. Prove that we can nd a symmetric matrix B 6 R\""" with A = B2 if and only if all the eigenvalues of A are nonnegative. Hint: use the spectral theorem for this problem, and the fact that CI: = Av => vTCv = A||v||2

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