From 9fb594044d2d93e86e523072e3071e1c45cd4733 Mon Sep 17 00:00:00 2001 From: idealist999 <2974730459@qq.com> Date: Fri, 23 Jan 2026 00:04:12 +0800 Subject: [PATCH] vault backup: 2026-01-23 00:04:12 --- 试卷库/线性代数期末真题/线代2014秋A.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/试卷库/线性代数期末真题/线代2014秋A.md b/试卷库/线性代数期末真题/线代2014秋A.md index a059c64..a7024d1 100644 --- a/试卷库/线性代数期末真题/线代2014秋A.md +++ b/试卷库/线性代数期末真题/线代2014秋A.md @@ -165,7 +165,7 @@ $$ ## 八、(12分)已知三元二次型$x^{\mathrm{T}}Ax$经正交变换化为$2y_{1}^{2} - y_{2}^{2} - y_{3}^{2}$,矩阵$B$满足方程 $$ -\left[\left(\frac{1}{2} A\right)^{\mathrm{T}}\right]^{-1}BA^{-1} = 2AB + 4E, +\left[\left(\frac{1}{2} A\right)^{\mathrm{*}}\right]^{-1}BA^{-1} = 2AB + 4E, $$ 且$A^{*}\alpha = \alpha$,其中$\alpha = (1,1,-1)^{\mathrm{T}}$,$A^{*}$为$A$的伴随矩阵,求二次型$x^{\mathrm{T}}Bx$的表达式。