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Eigenvalue Diagonalization of Invertible Matrices 📂Matrix Algebra

Eigenvalue Diagonalization of Invertible Matrices

Definition

If there exists a unitary matrix $Q$ and a diagonal matrix $\Lambda$ that satisfy $A = Q^{ \ast } \Lambda Q$ for $A \in \mathbb{C}^{ m \times m }$, then the matrix $A$ is said to be unitarily diagonalizable.