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 really appreciate …

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 ...

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 linear …

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 only …

May 4, 2013 · The same way you orthogonally diagonalize any symmetric matrix: you find the eigenvalues, you find an orthonormal basis for each eigenspace, you use the vectors in the …

Oct 7, 2017 · From the matrix point of view, given a symmetric matrix $A \in M_n (\mathbb {F})$, to diagonalize $A$ by congruence we must find an invertible matrix $Q$ such that $Q^T A Q$ is diagonal.

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 diagonalization of the

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.

Aug 20, 2024 · Smart way to diagonalize a particular "big" matrix Ask Question Asked 1 year, 3 months ago Modified 1 year, 3 months ago

Mar 28, 2020 · Is it possible to diagonalize a matrix without eigenvalues, or in other words, does the diagonal matrix of a diagonalization always have the eigenvalues of a matrix?