Eigenvalues of A^13 for a 2x2 Matrix - GATE CS 2025 Linear Algebra Problem

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Computer Sciences > GATE 2025 SET-1 > Linear Algebra

Let A be a 2×2 matrix as given.

What are the eigenvalues of the matrix A¹³ ?

A

1,-1

B

2√2, -2√2

C

4√2, 4√2

D

64√2, -64√2

Correct : d

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