来源:学生作业帮 编辑:百度作业网作业帮 分类:数学作业 时间:2024/08/19 07:28:54
求助这个对称行列式(特征值)求法?
![](http://img.wesiedu.com/upload/5/b5/5b5635daa191d00a59039079fc4599e9.jpg)
用三阶行列式的计算公式,= -(2-x)(1-x)x + 4x - 4(2-x)
= -(2-3x+x*x)x +4x -8+4x = -x*x*x +3x*x +6x - 8 = -x*x*x +x*x + 2*x*x +6x-8
= -x*x(x-1) + 2*(x-1)*(x-4) = -(x-1)(x*x -2x +8) = -(x-1)*(x-4)*(x+2)