Question

Give an example of two 2×2 matrices a and b such that ab≠ba .

Answer 1

Two examples of 2x2 matrices A and B such that AB ≠ BA are provided.

Step-by-step explanation:

Two examples of 2x2 matrices A and B such that AB ≠ BA are:

A = [[1, 2], [3, 4]]

B = [[5, 6], [7, 8]]

A = [[1, 0], [0, 2]]

B = [[3, 4], [5, 6]]

In the first example, AB = [[19, 22], [43, 50]] and BA = [[23, 34], [31, 46]], which are not equal. In the second example, AB = [[3, 4], [10, 12]] and BA = [[3, 8], [15, 20]], which are also not equal.