There is another very important aspect to linear algebra that will play a very important role in applied mathematics. This is the notion of an eigenvector and eigenvalue. Briefly, these are a vector and scalar in an equation, however, first, there is a strong geometric role behind them and secondly, eigenvectors and eigenvalues play an important role in many parts of linear algebra. Lastly, we will see an extension of them for functions later in the text.
