解三元一次方程组:-1⼀2 x -1⼀2 y = 0;-1⼀2 y + z = 0;1⼀2 x + z = 0

2025-04-14 18:05:08
推荐回答(2个)
回答1:

用Cramer定律判断
这个方程组只有平凡解(trivial solution):
x=0, y=0, z=0.

回答2:

-1/2 x -1/2 y = 0(1);-1/2 y + z = 0(2);1/2 x + z = 0(3)
又(1)+(2)得y=2z(4)
由(1)得y=-x
de y=-x=2z