线性代数求逆矩阵
问题描述:
线性代数求逆矩阵
1题
[ 1 -1 1]
[-2 2 1]
[ 2 0 1]
2题
[ 1 1 1 1]
[ 1 1 -1 -1]
[ 1 -1 1 -1]
[ 1 -1 -1 1]
乘以标准矩阵
经过初等变换求逆矩阵
答
(1) (A,E) =1 -1 1 1 0 0-2 2 1 0 1 02 0 1 0 0 1r2+2r1,r3-2r11 -1 1 1 0 00 0 3 2 1 00 2 -1 -2 0 1r2*(1/3),r3*(1/2)1 -1 1 1 0 00 0 1 2/3 1/3 00 1 -1/2 -1 0 1/2r1-r2,r3+(1/2)r21 -1 0 1/3 -1/3 00 0 1 2/3 1...