The number of all possible matrices of order 3 with each entry either 0 or 1 is:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 512
A matrix of order 3 is a 3 × 3 matrix, so it has 9 entries. Each entry can be filled in 2 ways (0 or 1), independently of the others, so by the multiplication principle:
\(2^9 = 512\)
Tip: A common slip is to count only 3 entries for “order 3”, which gives \(2^3 = 8\), Option (2).
NCERT (2026-27 edition):
Types of Matrices
