Question

Find the number of all possible matrices of order $2\times 2$ with each entry $0$ or $1$.

Answer 1

In a 2 × 2 matrix, the total number of elements present are 4. Each element can be replaced with either 1 or 0. Thus, there are two ways of filling each of the four spaces.

Thus the total number of such matrices will be 2×2×2×2 = 2⁴ matrices.

Therefore, the number of possible matrix of 2×2 order with each entry as 0 or 1 is equal to 16.