Eigenvalues and Eigenvectors
Explore how to calculate eigenvalues and eigenvectors using Python's NumPy library. Understand their role in transforming matrices and their application in scientific fields like quantum mechanics. Gain skills to handle general and Hermitian matrices with efficient methods.
We'll cover the following...
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:
...