# If w ¹ 1is the complex cube root of unity and matrix ω 0 0 ω H é ù = ê ú ë û , then H70 is equal to

Question:

If $\omega \neq 1$ is the complex cube root of unity and matrix $H=\left[\begin{array}{ll}\omega & 0 \\ 0 & \omega\end{array}\right]$, then $\mathrm{H}^{70}$ is equal to

1. 0

2. $-\mathrm{H}$

3. $\mathrm{H}^{2}$

4. $\mathrm{H}$

Correct Option: 4

JEE Main Previous Year 1 Question of JEE Main from Mathematics Inverse Trigonometric Functions chapter.
JEE Main Previous Year 2011RS

Solution:

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