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[求助] 如何求带参数的矩阵的逆矩阵

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发表于 2011-10-20 22:25 | 显示全部楼层 |阅读模式

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下面是求帕克变换矩阵的逆矩阵,为什么会是这样的结果?如何求带参数的逆矩阵?我是低手,求高手解答,不甚感激!!
>> syms x
>> c=2/3*[cos(x) cos(x-2/3*pi) cos(x+2/3*pi);-sin(x) -sin(x-2/3*pi) -sin(x+2/3*pi);1/2 1/2 1/2]

c =

[         2/3*cos(x), -2/3*cos(x+1/3*pi), -2/3*sin(x+1/6*pi)]
[        -2/3*sin(x),  2/3*sin(x+1/3*pi), -2/3*cos(x+1/6*pi)]
[                1/3,                1/3,                1/3]


>> inv(c)

ans =

[                           3/2*(sin(x+1/3*pi)+cos(x+1/6*pi))/(cos(x)*sin(x+1/3*pi)+cos(x)*cos(x+1/6*pi)-sin(x)*cos(x+1/3*pi)+sin(x)*sin(x+1/6*pi)+cos(x+1/3*pi)*cos(x+1/6*pi)+sin(x+1/6*pi)*sin(x+1/3*pi)),                           3/2*(cos(x+1/3*pi)-sin(x+1/6*pi))/(cos(x)*sin(x+1/3*pi)+cos(x)*cos(x+1/6*pi)-sin(x)*cos(x+1/3*pi)+sin(x)*sin(x+1/6*pi)+cos(x+1/3*pi)*cos(x+1/6*pi)+sin(x+1/6*pi)*sin(x+1/3*pi)), 3*(cos(x+1/3*pi)*cos(x+1/6*pi)+sin(x+1/6*pi)*sin(x+1/3*pi))/(cos(x)*sin(x+1/3*pi)+cos(x)*cos(x+1/6*pi)-sin(x)*cos(x+1/3*pi)+sin(x)*sin(x+1/6*pi)+cos(x+1/3*pi)*cos(x+1/6*pi)+sin(x+1/6*pi)*sin(x+1/3*pi))]
[                                -3/2*(-sin(x)+cos(x+1/6*pi))/(cos(x)*sin(x+1/3*pi)+cos(x)*cos(x+1/6*pi)-sin(x)*cos(x+1/3*pi)+sin(x)*sin(x+1/6*pi)+cos(x+1/3*pi)*cos(x+1/6*pi)+sin(x+1/6*pi)*sin(x+1/3*pi)),                                  3/2*(cos(x)+sin(x+1/6*pi))/(cos(x)*sin(x+1/3*pi)+cos(x)*cos(x+1/6*pi)-sin(x)*cos(x+1/3*pi)+sin(x)*sin(x+1/6*pi)+cos(x+1/3*pi)*cos(x+1/6*pi)+sin(x+1/6*pi)*sin(x+1/3*pi)),               3*(cos(x)*cos(x+1/6*pi)+sin(x)*sin(x+1/6*pi))/(cos(x)*sin(x+1/3*pi)+cos(x)*cos(x+1/6*pi)-sin(x)*cos(x+1/3*pi)+sin(x)*sin(x+1/6*pi)+cos(x+1/3*pi)*cos(x+1/6*pi)+sin(x+1/6*pi)*sin(x+1/3*pi))]
[                                 -3/2*(sin(x)+sin(x+1/3*pi))/(cos(x)*sin(x+1/3*pi)+cos(x)*cos(x+1/6*pi)-sin(x)*cos(x+1/3*pi)+sin(x)*sin(x+1/6*pi)+cos(x+1/3*pi)*cos(x+1/6*pi)+sin(x+1/6*pi)*sin(x+1/3*pi)),                                 -3/2*(cos(x)+cos(x+1/3*pi))/(cos(x)*sin(x+1/3*pi)+cos(x)*cos(x+1/6*pi)-sin(x)*cos(x+1/3*pi)+sin(x)*sin(x+1/6*pi)+cos(x+1/3*pi)*cos(x+1/6*pi)+sin(x+1/6*pi)*sin(x+1/3*pi)),               3*(cos(x)*sin(x+1/3*pi)-sin(x)*cos(x+1/3*pi))/(cos(x)*sin(x+1/3*pi)+cos(x)*cos(x+1/6*pi)-sin(x)*cos(x+1/3*pi)+sin(x)*sin(x+1/6*pi)+cos(x+1/3*pi)*cos(x+1/6*pi)+sin(x+1/6*pi)*sin(x+1/3*pi))]
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