A square matrix A has 9 elements. What is the possible order of A… - Vidyadip

MCQ

A square matrix $A$ has $9$ elements. What is the possible order of $A\ ?$

A
$1 \times 9$
B
$9 \times 9$
✓
$3 \times 3$
D
$2 \times 7$

✓

Answer

Correct option: C.

$3 \times 3$

The factors of $9$ are $1, 3$ and $9$.
So, the possible orders of a matrix containing $9$ elements is $1 \times 9, 9 \times 1, 3 \times 3.$
In a square matrix, the number of rows is equal to the number of columns.
So, the required order is $3 \times 3.$

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