May 15, 2015 · What's so useful about diagonalizing a matrix? Ask Question Asked 10 years, 6 months ago Modified 10 years, 6 months ago

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 29, 2013 · The problem is this matrix's columns (rows) aren't orthonormal though they're orthogonal. We must apply Gram-Schmidt (I assume the usual euclidean inner product and …

Jan 19, 2020 · Eigenvectors need not be orthogonal for a general diagonalizable complex matrix. But you are probably thinking about hermitian matrices, for which properly normalized …

Oct 16, 2014 · Diagonalizing a block matrix Ask Question Asked 11 years, 1 month ago Modified 11 years, 1 month ago

Apr 30, 2016 · A matrix is diagonalizable if it is similar to a diagonal matrix. So in order to prove this matrix is diagonalizable, why don't we make it similar to a diagonal matrix.

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.

From the following statement, it seems matrix diagonalization is just eigen decomposition. Diagonalizing a matrix is also equivalent to finding the matrix's eigenvalues, which turn out to …

Aug 31, 2022 · Diagonalizing a Hermitian Matrix Ask Question Asked 3 years, 3 months ago Modified 3 years, 3 months ago

Nov 10, 2023 · So this means, we can multiple any such eigenvector by a non-zero scalar in the general (non-symmetric) case to obtain yet another diagonalizing matrix. But if the …