1. Tardigrade
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  4. If A is a square matrix of order 3 of real entries such that |A|=2 A2 operatornameadj( A )=[2 2 0 0 2 2 k 0 2], then ( k ∈ R )

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Q. If $A$ is a square matrix of order 3 of real entries such that $|A|=2 \& A^2 \operatorname{adj}( A )=\begin{bmatrix}2 & 2 & 0 \\ 0 & 2 & 2 \\ k & 0 & 2\end{bmatrix}$, then $( k \in R )$

JEE AdvancedJEE Advanced 2017

Solution:

Correct answer is (b) $| kA |=16$Correct answer is (d) trace of $A ^3=6$