Dec 12, 2014 · Can someone show me step-by-step how to diagonalize this matrix? I'm trying to teach myself differential equations + linear algebra, but I'm stumped on how to do this. I'd …

May 15, 2015 · But finding the diagonal matrix and the invertible matrix itself involves a lot of computation. If we are using computers, then why not use the original matrix itself? And if we …

Oct 6, 2017 · This permutation matrix obviously has eigenvectors $ (\omega^k,\omega^ {2\cdot k},\ldots,\omega^ { (n-1)\cdot k} )$, so we can diagonalize the permutation matrix (and hence …

Nov 7, 2016 · It is easy to diagonalize a normal matrix such that $D = P^ {-1} A P$ by simply putting all the orthogonal eigenvectors as columns for $P$. But I spent hours trying a unitary …

May 31, 2019 · You seem to have found the eigenvectors of the matrix corresponding to the eigenvalues, from which you built $\;S\;$ . Well, now just take an orthonormal such basis. You …

Dec 18, 2015 · Given that the two matrices are symmetric, it may very well be faster to separately diagonalize them first, then adjust the diagonlizing unitary matrices so that they match.

I am confused about the following. When you diagonalize a $n\\times n$ matrix $A$, you write $A$ as $PDP^{-1}$ with $P$ being orthogonal. Because if $P$ wasn't ...

May 10, 2015 · Diagonalize tri-diagonal symmetric matrix Ask Question Asked 10 years, 6 months ago Modified 4 years, 8 months ago

May 15, 2017 · To be more precise than the previous answers: Repeated eigenvalues are necessary but not sufficient for a matrix to not be diagonalizable. For example you can never …

Jan 24, 2024 · 2 I am trying to block diagonalize a real orthogonal matrix, A. The condition is that the blocks should also be orthogonal.