Let's calculate the eigenvalues of a matrix. Perform the following steps to do so:
Create a matrix as follows:
A = np.mat("3 -2;1 0") print "A\n", AThe matrix we created looks like the following:
A [[ 3 -2] [ 1 0]]
Calculate eigenvalues by calling the
eigfunction.print "Eigenvalues", np.linalg.eigvals(A)
The eigenvalues of the matrix are as follows:
Eigenvalues [ 2. 1.]Determine eigenvalues and eigenvectors with the
eigfunction. This function returns a tuple, where the first element contains eigenvalues and the second element contains corresponding Eigenvectors, arranged column-wise.eigenvalues, eigenvectors = np.linalg.eig(A) print "First tuple of eig", eigenvalues print "Second tuple of eig\n", eigenvectors
The eigenvalues and eigenvectors will be shown as follows:
First tuple of eig [ 2. 1.] Second tuple of eig [[ 0.89442719 0.70710678] [ 0.4472136 0.70710678]]
Check the result with the
dotfunction by calculating the right...