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@ -20,7 +20,7 @@ $$ \operatorname{rank}(AB) \geq \operatorname{rank} A + \operatorname{rank} B -
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设 $A_{n \times n}$, $B_{n \times n}$,则
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$$(1)\ rank
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$$(1)\ \mathrm{rank}
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\begin{bmatrix}
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A \\
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@ -32,21 +32,21 @@ B
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\end{bmatrix} \geq \text{rank } B
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$$
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$$(2)\ rank
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$$(2)\ \mathrm{rank}
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\begin{bmatrix}
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A & 0 \\
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0 & B
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\end{bmatrix} = \text{rank } A + \text{rank } B
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$$
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$$(3)\ rank
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$$(3)\ \mathrm{rank}
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\begin{bmatrix}
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A & E_n \\
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0 & B
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\end{bmatrix} \geq \text{rank } A + \text{rank } B
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$$
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$$(4)\ rank
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$$(4)\ \mathrm{rank}
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\begin{bmatrix}
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A & 0 \\
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0 & B
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