[理工] 線代1題
改成原題目如下：
n
Let V be a subspace of R ,Alinear transformation T :V→V is said to be
symmetric if (Tu,v)=(u,Tv) for all u,v€V.
Here (x.y) is the dot product of vectors x and y.
n
A subspace W of R is said to be invariant under T if Tw€W ,for all w€W.
(a)Show that T is symmetric if and only if the matrix representation of T
relative to some orthonormal basis is symmetric.
┴
(b)Show that if W is invariant under T, then the orthogonal complement W
of W is also invariant under T.
我想請問的是第二題的部份
再度麻煩大家了
謝謝
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※ 編輯: ILzi 來自: 210.59.30.152 (03/20 12:06)
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