Who’s Working For Journals and Against Mathematicians?
Over at The n-Category Café, they’ve unmasked him as none other than Dr. Evil!
August 29, 2007 - Posted by John Armstrong | Uncategorized
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I am studying inner product spaces. I have noticed that the inner product along with the norm and the concept of angle are defined without any reference to basis. So, I would think that in an inner product space the inner product and magnitude and direction of a vector are independent of basis.
However, I have noticed that when you introduce a basis the values of the components of vectors may change and their inner products will change.
So, is the inner product, norm and angle independent of basis?