• 2022-10-30
    设 \( A \)为 \( m \times n \)矩阵, \( B \)为 \( n \times m \)矩阵,则下列结论中不正确的是( )
    A: \( {\left( {AB} \right)^T} = {B^T}{A^T} \)
    B: \( \left| {AB} \right| = \left| {BA} \right| \)
    C: \( tr\left( {AB} \right) = tr\left( {BA} \right) \)
    D: \( {A^T}A,\;B{B^T} \)均为\(n\)阶对称阵