Commutativity of determinant lemma

Determinant of n matrix product theorem

Determinant of transpose lemma

Corollary

Determinant of an inverse lemma

Summary

Matrix minor definition

Using minors to calculate determinant lemma

Example

Determinant of a linear operator (transformation) lemma

Eigenvalues and eigenvectors definition

Example

Determinant in relation to eigenvalue lemma

Corollary

Example

Eigenspace definition

Characteristic polynomial definition

Matrix similarity definition

Similar matrix properties lemma

Diagonalizable matrix definition