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Eigenvalues and Eigenvectors

Eigenvalues and Eigenvectors

In this lesson, we will discuss how to find eigenvalues and eigenvectors of non-hermitian and hermitian matrices.

We'll cover the following...

Eigenvalues and eigenvectors play a prominent role in the study of ordinary differential equations and in the physical sciences. One example that always comes to mind is Quantum Mechanics, which depends heavily on eigenvectors and eigenvalues.

Eigenvalues and eigenvectors are especially helpful in the process of transforming a given matrix into a diagonal matrix, which is easy to work with.

The eigenvalue problem for a matrix can be defined as follows:

Avn=λnvnAv_{n}=\lambda_{n} v_{n} ...