From c1dfc7c52d3c0ac00aeb5426917ba7fb253b224f Mon Sep 17 00:00:00 2001
From: idealist999 <2974730459@qq.com>
Date: Tue, 30 Dec 2025 23:59:53 +0800
Subject: [PATCH] vault backup: 2025-12-30 23:59:53

---
 编写小组/试卷/1231线性代数考试卷.md | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/编写小组/试卷/1231线性代数考试卷.md b/编写小组/试卷/1231线性代数考试卷.md
index d20890a..ded34e2 100644
--- a/编写小组/试卷/1231线性代数考试卷.md
+++ b/编写小组/试卷/1231线性代数考试卷.md
@@ -63,9 +63,9 @@ tags:
 0 & 0 & 0 & \cdots & 0 & 0 & 0 & \cdots & 0 & 0 & 0 \\
 0 & 0 & 0 & \cdots & 0 & 0 & 0 & \cdots & 0 & 0 & 0 \\
 0 & 0 & 0 & \cdots & 0 & 0 & 0 & \cdots & 0 & 0 & 0 
-\end{bmatrix}_{n \times n}$$其中第一行有 $m$ 个$0$.若$A^k=O$,则$k$的最小值为____.
+\end{bmatrix}_{n \times n}$$其中第一行有 $m$ 个$0$.若$A^k=O$,则 $k$ 的最小值为____.
 
-12. 设 $A, B$ 均为 $n$ 阶方阵，满足$\text{rank} \begin{bmatrix} A \\ B \end{bmatrix} = \text{rank}B,$ 且方程 $XA = B$ 有解。若 $\operatorname{rank} A = k$，则$\text{rank} \begin{bmatrix} A & O \\ B & E \end{bmatrix} =\underline{\hspace{2cm}}.$
+12. 设 $A, B$ 均为 $n$ 阶方阵，满足 $\text{rank} \begin{bmatrix} A \\ B \end{bmatrix} = \text{rank}B$ ，且方程 $XA = B$ 有解。若 $\operatorname{rank} A = k$，则$\text{rank} \begin{bmatrix} A & O \\ B & E \end{bmatrix} =\underline{\hspace{2cm}}.$
 
 ## 三、解答题，共五道，共64分