What are the eigen values of the following 2 × 2 matrix [[2, -1], [-4, 5]] (rows: (2, -1) and (-4, 5))?
- A. –1 and 1
- B. 1 and 6
- C. 2 and 5
- D. 4 and –1
Answer: B. 1 and 6
Explanation: Characteristic equation det(A − λI) = (2 − λ)(5 − λ) − (−1)(−4) = λ² − 7λ + 10 − 4 = λ² − 7λ + 6 = (λ − 1)(λ − 6) = 0, so eigenvalues are 1 and 6.