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Let Aa n dB be two nonsinular square mat...

Let `Aa n dB` be two nonsinular square matrices, `A^T a n dB^T` are the transpose matrices of `Aa n dB ,` respectively, then which of the following are correct? `B^T A B` is symmetric matrix if `A` is symmetric `B^T A B` is symmetric matrix if `B` is symmetric `B^T A B` is skew-symmetric matrix for every matrix `A` `B^T A B` is skew-symmetric matrix if `A` is skew-symmetric

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