[線代] complex inner products
Consider the set CI n of all ordered n-tuples of complex numbers. Show
That
<x,y>=E(n,j=1)kjxjy(bar)j is a suitable inner product,
where x = (x1,x2;…xn); y = (y1, y2…yn);
and kj are given positive real numbers.
P.S. E means sigma
請問一下是利用<c‧u>=c<u‧v> 去證嗎?
因為我再想kj是否為向量x的係數，
所以等於是E(n,j=1)kjxjy(bar)j=kjE(n,j=1)xjy(bar)j
不知道這樣是否合理 ?
先謝謝大家的指教
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