Question: If B is given to be any arbitrary mxn matrix and if D is given to be any mxm symmetric matrix then show/prove that K=(B^T)DB

If B is given to be any arbitrary mxn matrix and

If B is given to be any arbitrary mxn matrix and if D is given to be any mxm symmetric matrix then show/prove that

K=(B^T)*D*B

is always a symmetric matrix.

3. If B is given to be any arbitrary mxn matrix and if D is given to be any mxm symmetric matrix then show/prove that K = BTDB is always a symmetric matrix

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Question: If B is given to be any arbitrary mxn matrix and if D is given to be any mxm symmetric matrix then show/prove that K=(B^T)*D*B

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Question: If B is given to be any arbitrary mxn matrix and if D is given to be any mxm symmetric matrix then show/prove that K=(B^T)DB