Ponder...Defect: how far the eigenspace of falls short of the algebraic multiplicity. Definition 4.9 (Defect) The defect of an eigenvalue is defined as By Proposition 4.8, . RelatedAlgebraic multiplicityGeometric multiplicityDiagonalisable matrixStated inDefinition 4.9 (Defect)§4.2 Eigenspaces and Multiplicity