# If 0 1 1 0 A é ù – = ê ú ë û , then which one of the following statements is not correct?

Question:

If $A=\left[\begin{array}{cc}0 & -1 \\ 1 & 0\end{array}\right]$, then which one of the following statements is not correct?

1. $\mathrm{A}^{2}+\mathrm{I}=\mathrm{A}\left(\mathrm{A}^{2}-\mathrm{I}\right)$

2. $A^{4}-I=A^{2}+I$

3. $\mathrm{A}^{3}+\mathrm{I}=\mathrm{A}\left(\mathrm{A}^{3}-\mathrm{I}\right)$

4. $\mathrm{A}^{3}-\mathrm{I}=\mathrm{A}(\mathrm{A}-\mathrm{I})$

Correct Option: 1

JEE Main Previous Year 1 Question of JEE Main from Mathematics Inverse Trigonometric Functions chapter.
JEE Main Previous Year Online April 10, 2015

Solution:

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