First slide

Applications of determinant

Question

A is a square matrix $A (a d j A) = [\begin{matrix} 4 & 0 & 0 \\ 0 & 4 & 0 \\ 0 & 0 & 4 \end{matrix}]$ then $| A d j A | =$

Easy

A

$16$
B

$64$
C

$256$
D

$128$

Solution

$A (a d j A) = (\det A) I = [\begin{matrix} 4 & 0 & 0 \\ 0 & 4 & 0 \\ 0 & 0 & 4 \end{matrix}]$
Det A = 4
$| A d j A | = {(\det A)}^{2} = 4^{2} = 16$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App