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November 29th, 2017, 04:01 PM  #1 
Member Joined: Nov 2016 From: Kansas Posts: 68 Thanks: 0  Symmetric Bilinear Matrix
Yes/No with Proof: Any 2x2 symmetric form has a basis

December 4th, 2017, 12:33 PM  #2 
Math Team Joined: Jan 2015 From: Alabama Posts: 2,953 Thanks: 800 
This is another that baffles me. Any symmetric form, is a function, B, from the product of two vector spaces to the real numbers, such that B(u, v)= B(v, u). A vector space has a basis. What do you mean by a "basis" for a function?


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bilinear, matrix, symmetric 
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