The number of all possible matrices of order 2 × 2 with each entry 0, 1 or 2 are
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 81
A 2 × 2 matrix has 4 entries, and each entry can be chosen in 3 ways (0, 1 or 2). By the multiplication principle, the number of matrices is
\(3 \times 3 \times 3 \times 3 = 3^4 = 81\)