Linear Algebra

The characteristic equation of a $2 \times 2$ matrix is: $\lambda^2 - \text{Tr}(A) \lambda + \det(A) = 0$ $\lambda^2 - 7\lambda + 10 = 0$ $(\lambda - 5)(\lambda - 2) = 0$ Eigenvalues are $\lambda_1 = 5$ and $\lambda_2 = 2$. The largest eigenvalue is $5.0$.