线性代数,齐次线性方程组
若齐次线性方程A(m*n阶)X=0的解均为齐次线性方程组B(l*n阶)X=0的解,证明R(A)≥R(B)
人气:327 ℃ 时间:2020-10-01 15:21:46
解答
AX1=0;BX2=0;
依题意
R(X1)≤R(X2)
R(X1)+R(A)=n
R(X2)+R(B)=n
则 R(A)≥R(B)
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