题目内容
矩阵的秩引理 设矩阵A=(aij)sxn的列秩等于A的列数n,则A的列秩,秩都等于n。定理 矩阵的行秩,列秩,秩都相等。定理 初等变换不改变矩阵的秩。定理 矩阵的乘积的秩Rab<=min{Ra,Rb};当r(A)<=n-2时,最高阶非零子式的阶数<=n-2,任何n-1阶子式均为零,而伴随阵中的各元素就是n-1阶子式再加上个正负号,所以伴随阵为0矩阵。当r(A)<=n-1时,最高阶非零子式的阶数<=n-1,所以n-1阶子式有可能不为零,所以伴随阵有可能非零(等号成立时伴随阵必为非零)。
查看答案
搜索结果不匹配？点我反馈
更多问题
变化规律(1)转置后秩变大(2)r(A)<=min(m,n),A是m*n型矩阵(3)r(kA)=r(A),k不等于0(4)r(A)=0 <=> A=0(5)r(A+B)<=r(A)+r(B)(6)r(AB)<=min(r(A),r(B))(7)r(A)+r(B)-n<=r(AB)
P,Q为可逆矩阵, 则 r(PA)=r(A)=r(AQ)=r(PAQ)
You had better book rooms at the hotel in advance ______ you should find no room on your arrival.
_______ computer games bring us a lot of pleasure, I don't think it wise to spend too much money and time on them.
微信支付 
支付宝支付