Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

Let A be a square matrix of order 3, then |xA| is equal to

Options:

$x|A|$

$x^2|A|$

$x^3|A|$

$9x|A|$

Correct Answer:

$x^3|A|$

Explanation:

$A \text{ is a square matrix of order }3.$

$\text{For any scalar }x,$

$|xA|=x^{n}|A|,$

$\text{where }n\text{ is the order of the matrix}.$

$\Rightarrow |xA|=x^{3}|A|.$

$|xA|=x^{3}|A|.$