科数网

设

A, P

均为 3 阶方阵,

P^{T}

为

P

的转置矩阵, 且

P^{T} 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^{T} A Q

为

A.

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

B.

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

0 人点赞 156 次查看白板加入试卷

答案与解析：

答案仅限会员可见微信内自动登录或手机登录或微信扫码注册登录点击我要开通VIP