Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

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.

Options:

(A) and (D) only

(B) and (C) only

(A) only

(A), (B), (C) and (D)

Correct Answer:

(A) and (D) only

Explanation:

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)