Science:Math Exam Resources/Courses/MATH152/April 2015/Question A 09/Hint 1

Recall that an eigenvector of a matrix $\mathbf{𝐀}$ with corresponsing eigenvalue $\mathit{\lambda }$ is a non-zero vector $\mathbf{𝐯}$ that satisfies $\mathbf{𝐀}\mathbf{𝐯}=\mathit{\lambda }\mathbf{𝐯}.$