Topic: Diagonalization

Verifying a Proposed Diagonalization

Using Row Reduction to Test Eigenspace Dimensions

Scalar Matrices and Their Full Eigenspaces

Proof: The Multiplicity Criterion for Diagonalizability

Proof: The Eigenspace Dimension Criterion

Proof: Powers of a Diagonalizable Matrix

Proof: Diagonalization Is Equivalent to Having an Eigenbasis

Proof: Distinct Eigenvalues Provide a Full Eigenbasis

Parameter Values That Change Diagonalizability

Negative Powers in Diagonalized Form