Answer by philmcole for Symmetric matrix congruency
Although I'm quite late, I think I've got the solution acording to your algorithm.As far as I know the algorithm is known as "symmetric Gaussian elimination". It's basically the normal Gaussian...
View ArticleAnswer by Ben Grossmann for Symmetric matrix congruency
Rather than switching the columns, add the third row to the second, and work from there.I am not familiar with the algorithm you describe, and so I can't tell you why switch the rows would cause it to...
View ArticleAnswer by Oria Gruber for Symmetric matrix congruency
A fool proof algorithm :)1) Find the eigenvalues. The eigenvalues are the roots of the polynomial $det(A-\lambda I)$The eigenvalues are also the values that you will see on the diagonal.2) Find the...
View ArticleSymmetric matrix congruency
There is a sentense that says that every symmetric matrix is congruent to a diagonal matrix.I've been trying to find the congruent matrix and the transition matrix for the following:$$\begin{pmatrix} 1...
View Article
