Question: Let A be a symmetric positive definite matrix. Let Q be any orthogonal matrix (of appropriate size). True or False: (a) Q TAQ is a

Let A be a symmetric positive definite matrix. Let Q be any orthogonal matrix (of appropriate size). True or False:

(a) Q TAQ is a diagonal matrix.

(b) Q TAQ is symmetric positive definite.

(c) Q TAQ has the same eigenvalues as A.

(d) e^?A is symmetric positive definite

 

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