Category:Diagonalizable Matrices

This category contains results about Diagonalizable Matrices.
Definitions specific to this category can be found in Definitions/Diagonalizable Matrices.

A diagonalizable matrix $\mathbf A$ is a square matrix which is similar to a diagonal matrix.

That is, $\mathbf A$ is diagonalizable if and only if there exists an invertible matrix $\mathbf X$ such that $\mathbf X^-1 \mathbf A \mathbf X$ is a diagonal matrix.