matlab中用逆矩阵法,solve,rref法求解线性方程组的解.2x+3y+z=5 2x+3y+z=8
来源:百度知道 编辑:UC知道 时间:2024/05/29 18:46:34
2x+3y+z=5 2x+3y+z=8
3x+2y+5z=7 3x+2y+5z=9 x+3y+2z=6 x+3y+2z=10
3x+2y+5z=7 3x+2y+5z=9 x+3y+2z=6 x+3y+2z=10
A=[ 2 3 1
3 2 5
1 3 2];
b1=[5 7 6]';
b2=[8 9 10]';
逆矩阵
rats(inv(A)*b1)
ans =
-1/9
13/9
8/9
rats(inv(A)*b2)
ans =
-5/6
17/6
7/6
solve:
res=solve('2*x+3*y+z=5','3*x+2*y+5*z=7','x+3*y+2*z=6');[res.x res.y res.z]
ans =
[ -1/9, 13/9, 8/9]
res=solve('2*x+3*y+z=8','3*x+2*y+5*z=9','x+3*y+2*z=10');[res.x res.y res.z]
ans =
[ -5/6, 17/6, 7/6]
rref法:
R=rref([A b1])
R =
1 0 0 -1/9
0 1 0 13/9
0 0 1 8/9
R=rref([A b2])
R =
1 0 0 -5/6
0 1 0 17/6