A |AB|=|BA| B (AB)<img src="https://www.beizhujiaoyu.com/uploads/202208/161257042685581.png" width="14" height="25" />=B<img src="https://www.beizhujiaoyu.com/uploads/202208/161257049082521.png" width="14" height="25" />A<img src="https://www.beizhujiaoyu.com/uploads/202208/16125704965111.png" width="14" height="25" /> C (AB)<img src="https://www.beizhujiaoyu.com/uploads/202208/161257050618041.png" width="15" height="25" />=B<img src="https://www.beizhujiaoyu.com/uploads/202208/161257050618041.png" width="15" height="25" />A<img src="https://www.beizhujiaoyu.com/uploads/202208/161257050618041.png" width="15" height="25" /> D (A+B)<img src="https://www.beizhujiaoyu.com/uploads/202208/161257050618041.png" width="15" height="25" />=A<img src="https://www.beizhujiaoyu.com/uploads/202208/161257050618041.png" width="15" height="25" />+B<img src="https://www.beizhujiaoyu.com/uploads/202208/161257050618041.png" width="15" height="25" />

A <img src="https://www.beizhujiaoyu.com/uploads/202208/161257052633021.png" width="82" height="50" /> B <img src="https://www.beizhujiaoyu.com/uploads/202208/161257053278411.png" width="47" height="50" /> C <img src="https://www.beizhujiaoyu.com/uploads/202208/161257053793231.png" width="47" height="50" /> D <img src="https://www.beizhujiaoyu.com/uploads/202208/161257054110981.png" width="82" height="50" />

A <img src="https://www.beizhujiaoyu.com/uploads/202208/161257054782071.png" width="47" height="51" /> B <img src="https://www.beizhujiaoyu.com/uploads/202208/161257055136431.png" width="91" height="81" /> C <img src="https://www.beizhujiaoyu.com/uploads/202208/161257055644921.png" width="78" height="82" /> D <img src="https://www.beizhujiaoyu.com/uploads/202208/161257056154031.png" width="90" height="82" />

A <img src="https://www.beizhujiaoyu.com/uploads/202208/161258343412261.png" width="73" height="90" />  B <img src="https://www.beizhujiaoyu.com/uploads/202208/161258344285561.png" width="73" height="90" />  C <img src="https://www.beizhujiaoyu.com/uploads/202208/161258344843591.png" width="91" height="90" />  D <img src="https://www.beizhujiaoyu.com/uploads/202208/161258345585541.png" width="91" height="90" /> 

A r(A)=r(B) B λE-A=λE-B C |A|=|B| D 存在可逆矩阵P，使P-1AP=B

A ABC B ACB C BCA D BAC

A A的特征值均为1 B A的秩等于n C A的逆矩阵等于E D A的行列式等于1

A <img src="https://www.beizhujiaoyu.com/uploads/202208/161267088661381.png" width="47" height="52" /> B <img src="https://www.beizhujiaoyu.com/uploads/202208/161267089321621.png" width="82" height="52" /> C <img src="https://www.beizhujiaoyu.com/uploads/202208/16126708986821.png" width="47" height="52" /> D <img src="https://www.beizhujiaoyu.com/uploads/202208/1612670903291.png" width="64" height="52" />

A <img src="https://www.beizhujiaoyu.com/uploads/202208/161267090850141.png" width="238" height="54" /> B <img src="https://www.beizhujiaoyu.com/uploads/202208/161267091338631.png" width="236" height="54" /> C <img src="https://www.beizhujiaoyu.com/uploads/202208/161267092593951.png" width="180" height="52" /> D <img src="https://www.beizhujiaoyu.com/uploads/202208/161267093168211.png" width="184" height="53" />

A a=-1，b=3，c=0，d=3 B a=-1，b=3，c=1，d=3 C a=3，b=-1，c=1，d=3 D a=3，b=-1，c=0，d=3