Question

The number of all possible matrices of order 2 x 2 with each entry 0 or 1 is:

• A. 27
• B. 18
• C. 16
• D. 81

Answer 1

Answer: (C)

16

Answer 2

Four elements overall are contained in a $2 × 2$ matrix.

Either $1$ or $0$ can be used in place of each element.

Each of the four spaces can therefore be filled in one of two ways.

Therefore, there will be a total of $2×2×2×2 = 2^4$ matrices in this type of matrix.

Consequently, $16$ is the maximum number of $2\times2$ order matrices that can have either $0$ or $1$ for each entry.