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

Let A be a square matrix of order 3 such that |A| = 5.

Then |adj (adj A)| =

A

625

B

125

C

3025

D

None

Answer

625

Explanation

Solution

|adj (adj A)| = ∣A∣(n–1)2|A|^{(n–1)^{2}}

= (5)(3–1)2(5)^{(3–1)^{2}} = 54 = 625