## Diagonalization matrix worksheet

In this page diagonalization matrix worksheet we are going to see some practice question of the topic diagonalization matrix.

Definition :

A square matrix of order n is diagonalizable if it is having linearly independent eigen values.

We can say that the given matrix is diagonalizable if it is alike to the diagonal matrix. Then there exists a non singular matrix P such that P⁻¹ AP = D where D is a diagonal matrix.

 Diagonalization of matrix Practice question

(1) Diagonalize the following matrix

 5 0 1 0 -2 0 1 0 5

Solution

(2) Diagonalize the following matrix

 1 1 3 1 5 1 3 1 1

Solution

(3) Diagonalize the following matrix

 -2 2 -3 2 1 -6 -1 -2 0

Solution

(4) Diagonalize the following matrix

 4 -20 -10 -2 10 4 6 -30 -13

diagonalization matrix worksheet

Solution

(5) Diagonalize the following matrix

 11 -4 -7 7 -2 -5 10 -4 -6

Solution

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