1. (of a matrix) capable of being transformed into a diagonal matrix through a change of basis; having a complete set of linearly independent eigenvectors.
Usage: technical; mathematics

Examples

• A symmetric matrix is always diagonalizable over the real numbers.
• The professor asked us to determine whether the given matrix is diagonalizable.
• Not every square matrix is diagonalizable; some lack enough independent eigenvectors.
• If a matrix is diagonalizable, we can simplify many calculations by working with its diagonal form.
• The eigenvalues and eigenvectors help us understand whether a matrix is diagonalizable.