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 …

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 …

May 31, 2019 · Your matrix S S isn’t orthogonal, which is requirement for it to be a rotation matrix. Normalize its columns and you’re done. Check your arithmetic, though, since the D D you’ve given in …

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 · I think the fastest way to see this is to decompose the circulant matrix into a linear combination of powers of the permutation matrix associated with long permutation, ie. (nn − 1 … 1) …

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 are …

Oct 7, 2017 · Suppose we have a symmetric matrix A ∈Rn×n A ∈ R n × n (for example, the matrix corresponding to a quadratic form) which we want to diagonalize. Now the usual way to do this is to …

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?

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.

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