The number of all possible matrices of order 3 × 3 with each entry −1, 0 or 1 is
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → \( 3^{9} \)
A 3 × 3 matrix has 3 × 3 = 9 entries.
Each entry can be filled in 3 ways (−1, 0 or 1), independently of the others.
\( \displaystyle \text{Number of matrices}=3\times 3\times\cdots\times 3\ (9\text{ times}) \)
\( \displaystyle =3^{9} \)