用初等行变换求下列矩阵的逆矩阵的详细步骤
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用初等行变换求下列矩阵的逆矩阵的详细步骤
「1 2 2
2 1 -2
2 -2 1」
「1 2 2
2 1 -2
2 -2 1」
![用初等行变换求下列矩阵的逆矩阵的详细步骤](/uploads/image/z/6680413-37-3.jpg?t=%E7%94%A8%E5%88%9D%E7%AD%89%E8%A1%8C%E5%8F%98%E6%8D%A2%E6%B1%82%E4%B8%8B%E5%88%97%E7%9F%A9%E9%98%B5%E7%9A%84%E9%80%86%E7%9F%A9%E9%98%B5%E7%9A%84%E8%AF%A6%E7%BB%86%E6%AD%A5%E9%AA%A4)
1 2 2 1 0 0
2 1 -2 0 1 0
2 -2 1 0 0 1
r2-2r1, r3-2r1
1 2 2 1 0 0
0 -3 -6 -2 1 0
0 -6 -3 -2 0 1
r3-2r2
1 2 2 1 0 0
0 -3 -6 -2 1 0
0 0 9 2 -2 1
r3*(1/9)
1 2 2 1 0 0
0 -3 -6 -2 1 0
0 0 1 2/9 -2/9 1/9
r1-2r3, r2+6r3
1 2 0 5/9 4/9 -2/9
0 -3 0 -6/9 -3/9 6/9
0 0 1 2/9 -2/9 1/9
r2*(-1/3), r1-2r2
1 0 0 1/9 2/9 2/9
0 1 0 2/9 1/9 -2/9
0 0 1 2/9 -2/9 1/9
满意请采纳 ^_^
2 1 -2 0 1 0
2 -2 1 0 0 1
r2-2r1, r3-2r1
1 2 2 1 0 0
0 -3 -6 -2 1 0
0 -6 -3 -2 0 1
r3-2r2
1 2 2 1 0 0
0 -3 -6 -2 1 0
0 0 9 2 -2 1
r3*(1/9)
1 2 2 1 0 0
0 -3 -6 -2 1 0
0 0 1 2/9 -2/9 1/9
r1-2r3, r2+6r3
1 2 0 5/9 4/9 -2/9
0 -3 0 -6/9 -3/9 6/9
0 0 1 2/9 -2/9 1/9
r2*(-1/3), r1-2r2
1 0 0 1/9 2/9 2/9
0 1 0 2/9 1/9 -2/9
0 0 1 2/9 -2/9 1/9
满意请采纳 ^_^