Find the eigenvalues of the matrix G = [[5, 4], [2, 3]]. (2020)
Practice Questions
1 question
Q1
Find the eigenvalues of the matrix G = [[5, 4], [2, 3]]. (2020)
1, 7
2, 6
3, 5
4, 4
The eigenvalues are found by solving the characteristic equation det(G - λI) = 0. This gives λ^2 - 8λ + 7 = 0, which factors to (λ - 1)(λ - 7) = 0, hence λ = 1, 7.
Questions & Step-by-step Solutions
1 item
Q
Q: Find the eigenvalues of the matrix G = [[5, 4], [2, 3]]. (2020)
Solution: The eigenvalues are found by solving the characteristic equation det(G - λI) = 0. This gives λ^2 - 8λ + 7 = 0, which factors to (λ - 1)(λ - 7) = 0, hence λ = 1, 7.
