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...
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...