vault backup: 2026-01-11 23:46:17

develop
王轲楠 4 months ago
parent 4cf0b6d9b9
commit a2d6bb97ff

@ -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

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