From a2d6bb97ff546f3443620a6dc1d94dadbd734c3c Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=E7=8E=8B=E8=BD=B2=E6=A5=A0?= Date: Sun, 11 Jan 2026 23:46:17 +0800 Subject: [PATCH] vault backup: 2026-01-11 23:46:17 --- 素材/秩的不等式.md | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/素材/秩的不等式.md b/素材/秩的不等式.md index fd57403..3d28b8c 100644 --- a/素材/秩的不等式.md +++ b/素材/秩的不等式.md @@ -20,7 +20,7 @@ $$ \operatorname{rank}(AB) \geq \operatorname{rank} A + \operatorname{rank} B - 设 $A_{n \times n}$, $B_{n \times n}$,则 -$$(1)\ rank +$$(1)\ \mathrm{rank} \begin{bmatrix} A \\ @@ -32,21 +32,21 @@ B \end{bmatrix} \geq \text{rank } B $$ -$$(2)\ rank +$$(2)\ \mathrm{rank} \begin{bmatrix} A & 0 \\ 0 & B \end{bmatrix} = \text{rank } A + \text{rank } B $$ -$$(3)\ rank +$$(3)\ \mathrm{rank} \begin{bmatrix} A & E_n \\ 0 & B \end{bmatrix} \geq \text{rank } A + \text{rank } B $$ -$$(4)\ rank +$$(4)\ \mathrm{rank} \begin{bmatrix} A & 0 \\ 0 & B