Let (A) be a 2 × 2 matrix as given. What are the eigenvalues of the matrix…

GATE · 2025 · CS · Set 1 · Computer Science & IT

Let (A) be a 2 × 2 matrix as given.

What are the eigenvalues of the matrix 𝐴^(13) ?

1. A.

   (1, −1)

2. B.

   2(2)^(1/2) ​and -2(2)^(1/2)

3. C.

   4(2)^(1/2) ​and -4(2)^(1/2)

4. D.

   64(2)^(1/2) ​and -64(2)^(1/2)

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