Franklin's Notes


Eigenvalue decomposition

An eigenvalue decomposition of a square matrix $A$ is a factorization in the form where $\Lambda$ is a diagonal matrix whose entries are the eigenvalues of $A$. Such a decomposition exists if and only if the matrix $A$ is nondefective, or if it has a full basis of eigenvectors.

linear-algebra

matrices

matrix-factorization

eigenpairs

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