Advanced Linear Algebra

2323's picture
Course Level: 
Course Code: 
Course Outline: 
Topics in this course include Matrix algebra, determinants, inverses of matrices, linear transformation and matrices, Jordan forms, polynomials in matrices and normal forms, functions of matrices, Caley- Hamilton Theorem, Shur's decomposition, Jordan's decomposition, singular value decomposition, positive definite matrices, Hermitian matrices, unitary and normal matrices.