Give an example of two non-zero 2 × 2 matrices A and B such that AB = O.

Example 1:

Let and are the two non – zero matrices

Now, we will check that AB = 0 or not

Hence, and are the two non – zero matrices such that AB = 0

Example 2:

Let and are the two non – zero matrices

Now, we will check that AB = 0 or not

Hence, and are the two non – zero matrices such that AB = 0