Let A and B be two nonsingular square ma...

Let A and B be two nonsingular square matrices, `A^(T)` and `B^(T)` are the tranpose matrices of A and B, respectively, then which of the following are coorect ?

`B^T AB` is symmetric matrix if A is symmetric

`B^T AB` is symmetric matrix if B is symmetric

`B^TAB` is skew-symmetric matrix for every matrix A

`B^T AB` is skew-symmetric matrix if A is skew-symmetric

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A, D

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