Let A be a square matrix of order 3, then |xA| is equal to |
$x|A|$ $x^2|A|$ $x^3|A|$ $9x|A|$ |
$x^3|A|$ |
$A \text{ is a square matrix of order }3.$ $\text{For any scalar }x,$ $|xA|=x^{n}|A|,$ $\text{where }n\text{ is the order of the matrix}.$ $\Rightarrow |xA|=x^{3}|A|.$ $|xA|=x^{3}|A|.$ |