数学试题讲解

设

A

为 3 阶矩阵,

P

为 3 阶可逆矩阵, 且

P^{- 1} A P = (\begin{array}{lll} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 2 \end{array})

, 若

P = (α_{1}, α_{2}

α_{3}), Q = (α_{1} + α_{2}, α_{2}, α_{3})

, 则

Q^{- 1} A Q =

(\begin{array}{lll} 1 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 1 \end{array}]

. B.

(\begin{array}{lll} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 2 \end{array})

. C.

(\begin{array}{lll} 2 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 2 \end{array})

. D.

(\begin{array}{lll} 2 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 1 \end{array})