
Linear Algebra Linear Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
November 29th, 2017, 04:01 PM  #1 
Member Joined: Nov 2016 From: Kansas Posts: 73 Thanks: 1  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: 3,261 Thanks: 896 
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?


Tags 
bilinear, matrix, symmetric 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Why is the following matrix symmetric?  noobinmath  Linear Algebra  3  November 6th, 2015 07:39 AM 
Proof with symmetric and invertible matrix  iluvmafs  Linear Algebra  3  October 25th, 2014 03:51 PM 
Eigenvector of symmetric matrix  queenie_n  Linear Algebra  1  November 6th, 2012 07:09 AM 
symmetric matrix and eigenvalues  buttnana  Linear Algebra  1  September 26th, 2011 01:55 PM 
Symmetric matrix and eugenvalues..  BlackOps  Linear Algebra  2  February 18th, 2010 09:01 AM 