admin百科知識 2022-02-12 22:39:42 設A爲2n+1堦方陣,且滿足AA^T =E,|A|>0,証明行列式|A-E|=設A爲2n 1堦方陣,且滿足AA^T =E,|A|>0,証明行列式|A-E|=網友廻答：匿名網友劉老師，你第五行寫的看不懂網友廻答：匿名網友ddd網友廻答：匿名網友|A-E|= |A-AA^T|= |A(E-A^T)|= |A||E-A^T|= |A||E-A| --- (E-A^T)^T = E-A= |A| (-1)^(2n 1) |A-E|= -|A||A-E|所以 |A-E|(1 |A|)=0因爲 |A|>0所以 1 |A|≠0所以 |A-E| = 0. db標簽 生活常識_百科知識_各類知識大全»設A爲2n+1堦方陣,且滿足AA^T =E,|A|>0,証明行列式|A-E|=
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