From e1808b06f038d3b651fecc098307fa3d8ba004c5 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?=E7=8E=8B=E8=BD=B2=E6=A5=A0?= <wkn339224@qq.com>
Date: Mon, 29 Dec 2025 20:51:48 +0800
Subject: [PATCH] vault backup: 2025-12-29 20:51:48

---
 编写小组/试卷/2018-19线性代数期末考试卷.md | 4 +++-
 1 file changed, 3 insertions(+), 1 deletion(-)

diff --git a/编写小组/试卷/2018-19线性代数期末考试卷.md b/编写小组/试卷/2018-19线性代数期末考试卷.md
index 30fc61c..f027edf 100644
--- a/编写小组/试卷/2018-19线性代数期末考试卷.md
+++ b/编写小组/试卷/2018-19线性代数期末考试卷.md
@@ -120,4 +120,6 @@
     \underline{\qquad\qquad\qquad\qquad}.
     $$
 
----
\ No newline at end of file
+设$A=\begin{bmatrix}1 & -1 & 0 & -1 \\ 1 & 1 & 0 & 3 \\ 2 & 1 & 2 & 6\end{bmatrix},B=\begin{bmatrix}1 & 0 & 1 & 2 \\ 1 & -1 & a & a-1 \\ 2 & -3 & 2 & -2\end{bmatrix}$,向量$\alpha=\begin{bmatrix}0\\2\\3\end{bmatrix},\beta=\begin{bmatrix}1\\0\\-1\end{bmatrix}$.
+(1)证明：方程组$Ax=\alpha$的解均为方程组$Bx=\beta$的解；
+(2)若方程组$Ax=\alpha$与方程组$Bx=\beta$不同解，求$a$的值.