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a) Show that if A is a real, non-singular nxn matrix, then A.(A^T) is positive definite. b)...

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Advance Math

a) Show that if A is a real, non-singular nxn matrix, thenA.(A^T) is positive definite.

b) Let H be a real, symmetric nxn matrix. Show that H ispositive definite if and only if its eigenvalues are positive.

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