Published by:
CGP EDU Academic Team
Published on: August 11, 2026
If A is a 3 x 3 matrix and |A|= 2, then |3adj(|3A|A 2 )| is equal to
Text Solution
Verified by ExpertsThe correct answer is:
D
We need to find the value of |3adj (|3A| A 2 ) |
We know that |kA|= k n |A| where n is the order of the matrix and k is a constant.
We know that adj(kA)= k n-1 adj(A)
= 3 3 |(3 3 .2) 6 |adj(A 2 )|
Now we know that |adjA|= |A| n-l
= 3 3 ((3 3 .2) 2 ) 3 |adj(A 2 )|
= 3 3 (3 3 .2)|A| 3-1
= 3 3 (3 3 .2) 6 4
= 2 10 .3 21
Hence, the required answer is 2 10 .3 21 = 6 10 .3 11
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