用Matlab学习线性代数 - 线性方程组与矩阵代数概要(4)

>> C=inv(A*B); >> D=inv(A)*inv(B); >> G=inv(B*A); >> H=inv(B)*inv(A); >> C-D ans =

-3.9602e+001 -1.4016e+001 1.4537e+001 2.2261e+001 1.5266e+001 1.5778e+001 -1.9398e+001 -3.9304e+001

1.0821e+001 1.4313e+000 -2.7296e+001 -4.8956e+001 1.3845e+001 -5.5182e-001 2.6289e+001 5.1120e+001 >> C-G ans =

-3.9602e+001 -1.4016e+001 1.4537e+001 2.2261e+001 1.5266e+001 1.5778e+001 -1.9398e+001 -3.9304e+001 1.0821e+001 1.4313e+000 -2.7296e+001 -4.8956e+001 1.3845e+001 -5.5182e-001 2.6289e+001 5.1120e+001 >> C-H ans =

-5.6843e-014 -1.2879e-014 3.0198e-014 7.1054e-014 -6.5370e-013 -1.4744e-013 3.3396e-013 8.2423e-013 -1.5774e-012 -3.5527e-013 7.8870e-013 1.9895e-012 1.8758e-012 4.2988e-013 -9.4502e-013 -2.4016e-012 >> D-G ans =

4.9738e-013 1.1013e-013 -8.3489e-014 -3.1264e-013 1.7053e-013 3.7303e-014 -2.4869e-014 -1.0747e-013

5.8265e-013 1.3145e-013 -9.4147e-014 -3.8369e-013 -1.0516e-012 -2.3448e-013 1.7053e-013 6.6791e-013 >> D-H ans =

3.9602e+001 1.4016e+001 -1.4537e+001 -2.2261e+001 -1.5266e+001 -1.5778e+001 1.9398e+001 3.9304e+001 -1.0821e+001 -1.4313e+000 2.7296e+001 4.8956e+001 -1.3845e+001 5.5182e-001 -2.6289e+001 -5.1120e+001 >> G-H ans =

3.9602e+001 1.4016e+001 -1.4537e+001 -2.2261e+001 -1.5266e+001 -1.5778e+001 1.9398e+001 3.9304e+001 -1.0821e+001 -1.4313e+000 2.7296e+001 4.8956e+001 -1.3845e+001 5.5182e-001 -2.6289e+001 -5.1120e+001 >> （4）

>> c=inv((A*B)'); >> d=inv(A'*B');