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If $A=\left[\begin{array}{cc}0 & -1 \\ 1 & 0\end{array}\right]$, then the incorrect option among the following is
Options:
Solution:
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Verified Answer
The correct answer is:
$A^2+I=A\left(A^2-l\right)$
For the given matrix $A=\left[\begin{array}{cc}0 & -1 \\ 1 & 0\end{array}\right]$ the characteristics equation is $A^2+I=0$, so the $A^3=-A$ and $A^4=I$.
Now, if we analyse, the option $A^2+I=A\left(A^2-I\right)$ is incorrect.
Now, if we analyse, the option $A^2+I=A\left(A^2-I\right)$ is incorrect.
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