Example of a matrix diagonalization Step 1: Find the characteristic polynomial Step 2: Find the eigenvalues Step 3: Find the eigenspaces Step 4: Determine linearly independent eigenvectors Step 5: Define the invertible matrix SS Step 6: Define the diagonal matrix DD Step 7: Finish the diagonaliza...
DESCRIPTION gmxnmeigcalculates the eigenvectors/values of a (Hessian) matrix, which can be calculated with gmx mdrun. The eigenvectors are written to a trajectory file (-v). The structure is written first with t=0. The eigenvectors are written as frames with the eigenvector number and eigenva...
Finding a diagonal matrix can be a lengthy process, but it’s easy if you know the steps! You’ll need to calculate the eigenvalues, get the eigenvectors for those values, and use the diagonalization equation. Diagonal matrices are great for many different operations, such as computing the po...