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 …

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 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 …

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Nov 7, 2016 · You'll need to complete a few actions and gain 15 reputation points before being able to upvote. Upvoting indicates when questions and answers are useful. What's reputation and how do I …

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.

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.

Jan 24, 2024 · I am trying to block diagonalize a real orthogonal matrix, A. The condition is that the blocks should also be orthogonal. I found this pretty old yet abstract paper that says "By block

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 15, 2017 · In general for all real (and complex ) 2 by 2 matrices, is it true that if there is a repeated eigenvalue (so all eigenvalues are the same), then we conclude that that matrice is non …