已知矩阵AB=A+2B,求B 矩阵A= 0,3,3 1,1,0 -1,2,3答:由 AB=2B+A 得 (A-2E)B = A (A-2E,A) = -2 3 3 0 3 3 1 -1 0 1 1 0 -1 2 1 -1 2 3 r1+2r2,r3+r2 0 1 3 2 5 3 1 -1 0 1 1 0 0 1 1 0 3 3 r2+r1,r3-r1 0 1 3 2 5 3 1 0 3 3 6 3 0 0 -2 -2 -2 0 r3*(-1/2),r1-3r3,r2-3...
matlab ,已知矩阵A和B满足关系AB=A+2B,A=[4,2,3;1,1,,0;-1,2,3],求B答:AB=A+2B AB-2B=A (A-2E)B=A B=inv(A-2E)*A matlab语句如下:>> A=[4,2,3;1,1,0;-1,2,3];>> B=inv(A-2*eye(size(A)))*A;B = 3.0000 -8.0000 -6.0000 2.0000 -9.0000 -6.0000 -2.0000 12.0000 9.0000 ...