First slide

Applications of determinant

Question

If A is 3 order square matrix such that lAl = 2 then ladj (adj(adjA))l is

Moderate

A

512
B

256
C

64
D

None of these

Solution

We know that
${ladj (adj A) | = | A|}^{(n - 1)^{2}}$
$\begin{aligned} \Rightarrow ladj (adj (adj A)) ∣ = {ladj A|}^{(n - 1)^{2}} = | A |^{(n - 1)^{3}} \\ = 2^{8} = 256 \end{aligned}$

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