
linear algebra - What's so useful about diagonalizing a matrix ...
May 15, 2015 · What's so useful about diagonalizing a matrix? Ask Question Asked 10 years, 7 months ago Modified 10 years, 7 months ago
linear algebra - How do you orthogonally diagonalize the matrix ...
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 …
Is matrix diagonalization unique? - Mathematics Stack Exchange
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 …
Why does putting the eigenvectors as columns in a matrix give us …
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 …
Diagonalization of symmetric matrix - Mathematics Stack Exchange
Oct 7, 2017 · What you say as 'simultaneous column and row transformations' is sometimes formally called congruence operation on a matrix. This method is essentially same as …
Diagonalising a matrix comprising of blocks of diagonal matrices
Dec 24, 2017 · You can reorder the rows and columns of your matrix to make it block diagonal in the usual sense. These blocks can be independently eigen-analyzed, which must be a cost …
How to diagonalize this matrix... - Mathematics Stack Exchange
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.
Diagonalizing a 3x3 matrix - Mathematics Stack Exchange
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.
Diagonalizing a block matrix - Mathematics Stack Exchange
Oct 16, 2014 · Diagonalizing a block matrix Ask Question Asked 11 years, 1 month ago Modified 11 years, 1 month ago
Diagonalizing a Hermitian Matrix - Mathematics Stack Exchange
Aug 31, 2022 · Diagonalizing a Hermitian Matrix Ask Question Asked 3 years, 3 months ago Modified 3 years, 3 months ago