Diagonalizability
Lecture no. 16 from the course: Mastering Linear Algebra: An Introduction with Applications
Taught by Professor Francis Su | 32 min | Categories: Default Category
In this third lecture on eigenvectors, examine conditions under which a change in basis results in a basis of eigenvectors, which makes computation with matrices very easy. Discover the property called diagonalizability, and prove that being diagonalizable is the equivalent to having a basis of eigenvectors. Also explore the connection between the eigenvalues of a matrix and its determinant.