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Question: Let A be square matrix of order 3 such that \|A\| = 5. Then \|adj(adjA)\| =...

Let A be square matrix of order 3 such that

|A| = 5. Then |adj(adjA)| =

A

625

B

125

C

3025

D

None of these

Answer

625

Explanation

Solution

|adj(adjA)| = ∣A∣(n−1)2|A|^{(n - 1)^{2}}= 54 = 625