If A is a square matrix of order 3 and |A|=-5, then |{\adj} A| is

CBSE Class 12 Math 2022 Term I Solved Paper - Question 30

Question : 30 of 50

Marks: +1, -0

A

is a square matrix of order 3 and

|A|=-5

, then

|{\adj} A|

Solution:

Explanation: We know that,

|{\adj} A|=|A|^{n-1}

where

n

is the order of the matrix

∴ \;\; |{\adj} A|

\;=(5)^{3-1}

\;=5^2=25

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