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What are the eigenvalues of the 2×2 matrix [[2, 1], [1, 2]]?
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Get StartedWhat are the eigenvalues of the 2×2 matrix [[2, 1], [1, 2]]?
Options:
- 3 and 1
- 2 and 2
- 1 and -1
- 0 and 4
Correct answer: 3 and 1
Explanation: The characteristic polynomial is (2−λ)^2 − 1 = λ^2 − 4λ + 3, whose roots are λ = 1 and λ = 3; explicitly the eigenvalues are 1 and 3 (concrete values).
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