Transforming a matrix into a diagonal form by finding a basis of eigenvectors is known as diagonalizing a matrix. This process simplifies calculations, particularly when raising the matrix to a certain power or computing the matrix exponential. However, this can only be achieved if there are sufficient distinct eigenvectors in the matrix.
| Topic | Problem | Solution |
|---|---|---|
| None | Diagonalize the following matrix: \[ A = \begin{p… | Find the eigenvalues of the matrix. This can be done by solving the characteristic equation, \(\tex… |