Topic: Engineering Mathematics
The eigen values of A = [[2, 2, 4], [2, -1, 2], [4, 2, 2]] are.
- A. [2, 7, 2]
- B. [-7, -2, -2]
- C. [-2, -2, 7]
- D. [2, -1, 2]
Answer: C. [-2, -2, 7]
Explanation: The characteristic equation is |A - λI| = 0. Solving the resulting cubic equation (λ+2)(λ²-5λ-14)=0 gives the eigenvalues λ=-2, λ=-2, and λ=7.