If a matrix has 8 elements then the possible order(s) it may have (A) 8×1 Choose the correct answer from the options given below. |
(A) and (D) only (B) and (C) only (A) only (A), (B), (C) and (D) |
(A) and (D) only |
The correct answer is Option (1) → (A) and (D) only For a matrix with $8$ elements, $\text{Number of elements} = (\text{number of rows}) \times (\text{number of columns}) = 8.$ Hence all possible orders $(m,n)$ satisfying $m\times n=8$ are: $(1,8),\;(2,4),\;(4,2),\;(8,1)$ From the given options: (A) $8\times1$ → valid ✅ (B) $5\times3$ → $15\neq8$ ❌ (C) $6\times2$ → $12\neq8$ ❌ (D) $2\times4$ → valid ✅ Correct options: (A) and (D) |