If $A$ is order 3 square matrix such that $|A|$=2, then |adj(adj(adj A))| is

Question

Dr. Abubacker · Accepted Answer

(b)
We know that $\left| adj(adjA)) \right| = |\ A|^{(n - 1)^{2}}$
$\Rightarrow \left| adj(adj(adjA)) \right| = |adj\ A|^{(n - 1)^{2}}$
$= |\ A|^{(n - 1)^{3}}$
$= 2^{8} = 256$

Q. If $A$ is order 3 square matrix such that $|A|$=2, then |adj(adj(adj A))| is

Explanation

Reviewed by Dr. Abubacker

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