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What is the characteristic polynomial of the matrix G = [[2, 1], [1, 2]]? (2020)

Practice Questions

1 question
Q1
What is the characteristic polynomial of the matrix G = [[2, 1], [1, 2]]? (2020)
  1. λ^2 - 3λ + 1
  2. λ^2 - 5λ + 4
  3. λ^2 - 2λ + 1
  4. λ^2 - 4λ + 4

Questions & Step-by-step Solutions

1 item
Q
Q: What is the characteristic polynomial of the matrix G = [[2, 1], [1, 2]]? (2020)
Solution: The characteristic polynomial is given by det(G - λI) = det([[2-λ, 1], [1, 2-λ]]) = (2-λ)(2-λ) - 1 = λ^2 - 3λ + 3.
Steps: 0

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