如果齐次线性方程组{kx+y+z=0;x+ky+z=0;2x-y-z=0}有非零解,k应取什么值?为什么齐次线性方程组有非零解,系数行列式必为0?从 k 1 11 k 1 =02 -1 -1到k+2 0 00 2k+1 3 =02 -1 -1的变换是怎么变的?(k+2)*[(-2k-1)+3]=0这
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![如果齐次线性方程组{kx+y+z=0;x+ky+z=0;2x-y-z=0}有非零解,k应取什么值?为什么齐次线性方程组有非零解,系数行列式必为0?从 k 1 11 k 1 =02 -1 -1到k+2 0 00 2k+1 3 =02 -1 -1的变换是怎么变的?(k+2)*[(-2k-1)+3]=0这](/uploads/image/z/2602779-51-9.jpg?t=%E5%A6%82%E6%9E%9C%E9%BD%90%E6%AC%A1%E7%BA%BF%E6%80%A7%E6%96%B9%E7%A8%8B%E7%BB%84%7Bkx%2By%2Bz%3D0%3Bx%2Bky%2Bz%3D0%3B2x-y-z%3D0%7D%E6%9C%89%E9%9D%9E%E9%9B%B6%E8%A7%A3%2Ck%E5%BA%94%E5%8F%96%E4%BB%80%E4%B9%88%E5%80%BC%3F%E4%B8%BA%E4%BB%80%E4%B9%88%E9%BD%90%E6%AC%A1%E7%BA%BF%E6%80%A7%E6%96%B9%E7%A8%8B%E7%BB%84%E6%9C%89%E9%9D%9E%E9%9B%B6%E8%A7%A3%2C%E7%B3%BB%E6%95%B0%E8%A1%8C%E5%88%97%E5%BC%8F%E5%BF%85%E4%B8%BA0%3F%E4%BB%8E+k+1+11+k+1+%3D02+-1+-1%E5%88%B0k%2B2+0+00+2k%2B1+3+%3D02+-1+-1%E7%9A%84%E5%8F%98%E6%8D%A2%E6%98%AF%E6%80%8E%E4%B9%88%E5%8F%98%E7%9A%84%3F%28k%2B2%29%2A%5B%28-2k-1%29%2B3%5D%3D0%E8%BF%99)
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