Question

设矩阵A和B满足关系 AB等于A加2B 而A等于|300,040,005|求矩阵B

Answer 1

矩阵B为[3 0 0]

[0 2 0]

[0 0 5/3]

过程很麻烦,就是设出矩阵B为[x1 x2 x3]

[y1 y2 y3]

[z1 z2 z3]

根据AB=A+2B 联立方程得3x1=3+2x1；4y2=4+2y2；5z3=5+2z3；其余为0.