If A is an invertible matrix of order 3 and ...

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:

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

, where n is order of square matrix

Given A is an invertible matrix of order 3

|adj A| = |A|^{3-1} = |A|^2

Since, |A| = 5

∴ |adjA| =

( 5 )

= 25

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