If A is an invertible matrix of order 3 and |A| = 5, then ...

CBSE Class 12 Math 2009 Solved Paper

Question : 5 of 29

Marks: +1, -0

If A is an invertible matrix of order 3 and |A| = 5, then find |adj. A|.

Solution:

|adjA|=|A|n−1 , where n is order of square matrix
Given A is an invertible matrix of order 3
|adjA|=|A|3−1=|A|2
Since, |A| = 5
∴ |adjA| = (5) = 25

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