用初等变换求矩阵1 0 0 2 2; 5 7 6 8 3; 4 0 0 8 4; 7 1 0 1 0的秩求化简为行阶梯型的详细过程

问题描述:

用初等变换求矩阵1 0 0 2 2; 5 7 6 8 3; 4 0 0 8 4; 7 1 0 1 0的秩
求化简为行阶梯型的详细过程

[1 0 0 2 2] [1 0 0 2 2] [1 0 0 2 2] [1 0 0 2 2]
[5 7 6 8 3] [0 7 6 -2 -7] [0 0 6 89 91] [0 1 0 -13 -14]
[4 0 0 8 4] [0 0 0 0 -4] [0 0 0 0 -4] [0 0 6 89 91]
[7 1 0 1 0] [0 1 0 -13 -14] [0 1 0 -13 -14] [0 0 0 0 -4]
矩阵的秩为:4