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If the matrix \(A=\left(\begin{array}{cc}0 & 2 \\ K & -1\end{array}\right)\), satisfied \(A\left(A^3+3 I\right)=…

Q1

If the matrix \(A=\left(\begin{array}{cc}0 & 2 \\ K & -1\end{array}\right)\), satisfied \(A\left(A^3+3 I\right)=2 I\), then the value of \(K\) is:

[JEE Main 2021, 27 Aug (Shift 1)]

a

\(-\frac{1}{2}\)

b

-1

c

1

d

\(\frac{1}{2}\)

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