[理工] [線代] 內積空間
Let the elements of an inner product space V be all vectors in R^n
Define as
<x,y> = (Ax)^T(Ay) where A is an n*n matrix
(a) What is the most genera; matrix A such that above is an inner product
=> A必須可逆(Why????)
(b) What are the properties stated in (a) ?
其中
<x,y> = (Ax)^T(Ay) = ((Ax)^T(Ay))^T = (Ay)^T(Ax)
為什麼忽然加了一個轉置還會相等？
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有請大大姐答
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