Let \(M=\begin{pmatrix}\cos\theta&-\sin\theta\\\sin\theta&\cos\theta\end{pmatri…

GATE · 2026 · DA · Data Science & AI

Let M=(cos⁡θ−sin⁡θsin⁡θcos⁡θ)M=\begin{pmatrix}\cos\theta&-\sin\theta\\\sin\theta&\cos\theta\end{pmatrix} be a 2 × 2 matrix, where θ=2π5\theta=\frac{2\pi}{5}, and I2=(1001)I_2=\begin{pmatrix}1&0\\0&1\end{pmatrix}. Which of the following options is equal to 𝑀2026?

  1. A.

    𝑀2

  2. B.

    𝑀

  3. C.

    𝑀-1

  4. D.

    𝐼2

Attempted by 13 students.

Sign up free to check your answer

Sign up free

Explore the full course: Aptitude For Gate

Loading lesson…