If a matrix has 8 elements then the possible order(s) it may have
(A) 8×1
(B) 5×3
(C) 6×2
(D) 2×4
Choose the correct answer from the options given below.
Answer & explanation
Correct answer: option 1
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)