If \( A \) is a symmetric matrix, then for any matrix \( B \) of order same as \( A \), \( BAB' \) is a/an :
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The expression \( B M B' \) always inherits the symmetry characteristics of the central matrix \( M \). If \( M \) is symmetric, \( B M B' \) is symmetric. If \( M \) is skew-symmetric, \( B M B' \) becomes skew-symmetric.