From 279dcb03efb8b4c56e444f5abf3dddc777436f6d Mon Sep 17 00:00:00 2001
From: idealist999 <2974730459@qq.com>
Date: Wed, 31 Dec 2025 00:22:50 +0800
Subject: [PATCH] vault backup: 2025-12-31 00:22:50

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

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 f3cbb24..46d2817 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
@@ -64,7 +64,7 @@ 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}_{(nm) \times (nm)}$$其中第一行有$m$个$0$.若$A^k=O$,则$k$的最小值为$\underline{\qquad\qquad\qquad\qquad}.$
+\end{bmatrix}_{(mn) \times (mn)}$$其中第一行有$m$个$0$.若$A^k=O$,则$k$的最小值为$\underline{\qquad\qquad\qquad\qquad}.$
 
 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$\text{rank} \begin{bmatrix} A & O \\ B & E \end{bmatrix} =\underline{\hspace{3cm}}.$