Changes

:<math>A\boldsymbol{x}=\lambda\boldsymbol{x}</math>

:<math>A\boldsymbol{x}=\lambda\boldsymbol{x}</math>

for some vector <math>\boldsymbol{x}\in\mathbb{R}</math> known as a [[eigenvector]]. The eigenvalue is the zero of a matrix's [[charateristic polynomial]].

for some non-zero vector <math>\boldsymbol{x}\in\mathbb{R}</math> known as a [[eigenvector]]. The eigenvalue is the zero of a matrix's [[charateristic polynomial]].

All the eigenvectors of a particular eigenvalue [[span]] a vector space called the [[eigenspace]].

All the eigenvectors of a particular eigenvalue [[span]] a vector space called the [[eigenspace]].

[[category:Linear algebra]]

[[category:Linear algebra]]