If a matrix has 12 elements, then the possible orders it can have, are
(A) 1 × 12
(B) 4 × 3
(C) 6 × 3
(D) 6 × 2
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → (A), (B) and (D) only
(A) 1 × 12
(B) 4 × 3
(D) 6 × 2
Total elements $= m \times n = 12$.
Possible orders are those pairs $(m,n)$ of natural numbers whose product is $12$.
Factors of $12$: $(1,12), (12,1), (2,6), (6,2), (3,4), (4,3)$.
From given options:
(A) $1 \times 12$ ✔
(B) $4 \times 3$ ✔
(C) $6 \times 3$ ✘ ($6 \times 3 = 18 \ne 12$)
(D) $6 \times 2$ ✔
Correct options: (A), (B), (D)