Question

Given that A is a square matrix of order 3×3 and |A| = - 4. Find |adj A

Answer 1

Answer:

Answer

Correct option is

A

1728

A=n×n matrix

∣adjA∣=∣A∣

n−1

∣AadjA∣=∣A∣∣adjA∣

=∣A∣∣A∣

3−1

=∣A∣

3

=12

3

=1728

Answer 2

Step-by-step explanation:

$\boxed{|adj.A| = {|A|}^{n - 1} \: , \: n \: is \: the \: \: order \: of \: square \: matrix } \\\\ \\ here \: n = 3 ,\: |A| = - 4 \\ \\ |adj.A| = {|A|}^{3 - 1} \\ = {|A| }^{2} \\ = { (- 4)}^{2} \\ = 16$

,