[理工] [線代]-雲科97-資工
2 2
Let(x)=Ax be the linear transformation from R to R that reflects
[4]
any vector onto the line L spanned by the vector[3]
(a) Find the eigenvalues and their corresponding eigenvectors for the
transformation matrix A
我看小黃解答: [-3/5]
取u= [4/5 ] 為直線L的單位反向量然後求
t
Householder matrix為 A=I-2uu
A= [7/25 24/25 ]
[ ]
[24/25 -7/25]
我代A([4])進去出來還是 [4] ..... ,不是要可以reflect L上的任一點嗎?
[3] [3]
那小黃求Householder矩陣要幹嘛,帶進去竟然不會反射
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