SciPy Recipes

How to do it…

Before getting into the details of checking whether a matrix is diagonalizable or not, let us see how to convert any 1D array into a diagonal matrix.

1. Import the relevant packages:

import numpy as np 

2. Initialize a 1D matrix:

a= np.array([1,2,3]) 

3. Diagonalize the matrix:

np.diag(a)

4. The output of the preceding code is:

array([[1, 0, 0],       [0, 2, 0],       [0, 0, 3]]) 

You should note that all the elements within the one-dimensional array form the diagonal of the output matrix generated by the diag function within the numpy package. Moreover, the other elements of the output array (apart from the diagonal elements) are 0. In the following code, we will look into checking whether a matrix is diagonalizable or not.

As discussed earlier, ...