矩阵的除法及线性方程组的求解
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2013-10-18
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已知:A=[6,3,4;-2,5,7;8,-4,-3],若AV=I,则V是A的逆矩阵:V=inv(A)
ex2.10: 解下列方程组:
6x1+3x2+4x3=3
-2x1+5x2+7x3=-4
8x1-4x2-3x3=-7
记为A*X=B,A=[6,3,4;-2,5,7;8,-4,-3],X=[x1;x2;x3]
B=[3;-4;-7],则X=inv(A)*B=A\B(左除)。
若X1=[x1, x2, x3], A1=[6,-2,8;3,5,-4;4,7,-3],
B1=[3,-4,-7]
则记为X1*A1=B1,故X1=B1*inv(A1)=B1/A1(右除)。
A=[6,3,4;-2,5,7;8,-4,-3];
B=[3;-4;-7]; X=A\B
或:A1=[6,-2,8;3,5,-4;4,7,-3];
B1=[3,-4,-7]; X1=B1/A1
ex2.10: 解下列方程组:
6x1+3x2+4x3=3
-2x1+5x2+7x3=-4
8x1-4x2-3x3=-7
记为A*X=B,A=[6,3,4;-2,5,7;8,-4,-3],X=[x1;x2;x3]
B=[3;-4;-7],则X=inv(A)*B=A\B(左除)。
若X1=[x1, x2, x3], A1=[6,-2,8;3,5,-4;4,7,-3],
B1=[3,-4,-7]
则记为X1*A1=B1,故X1=B1*inv(A1)=B1/A1(右除)。
A=[6,3,4;-2,5,7;8,-4,-3];
B=[3;-4;-7]; X=A\B
或:A1=[6,-2,8;3,5,-4;4,7,-3];
B1=[3,-4,-7]; X1=B1/A1
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