Question

Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is ______.

Options

• 9

• 27

• 81

• 512

Answer 1

Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is 512.

Explanation:

Since each element a_ij can be filled in two days ways (with either ‘2’ or ‘0’), total number of possible matrices is 29 i.e., 512.