So you're considering the subspace of symmetric matrices. Given a symmetric matrix, how many "parameters" (=coefficients) do you think you must choose to completely define it?
I'm unable to solve this problem. A little help would be welcome. (not a full answer if possible).
Find the dimension and a base of this set : .
My attempt : I'm tempted to answer without thinking, but when I think I realize I don't know. is the set containing all the matrices nxn such that they are equal to their transposematrix. I'm not able to see further in order to find the dimension of .
And once I know the dimension, I'll know how many vectors form a base of .
Thank you very much in advance.
At begin, I didn't know how to write perfect math formula.
I check http://www.mathhelpforum.com/math-help/latex-help/ (LaTex Tutorial)
And apply WinEdt , then I know LaTex syntax.
You could click formula ,it pop up LaTex command.
I hope it will help you.