Question

The number of all possible matrices of order 3 × 3 with each entry 0 or 1 is

Options

• 27

• 18

• 81

• 512

Answer 1

 512 

There are 9 elements in a 3x  3 matrix and one element can be filled in two ways, either with 0 or 1.

Thus,

Total possible matrices =

\[2^9\] = 512