Linear Algebra

Gives an introduction to linear algebra and proves its fundamental properties and theorems taking a pure mathematical approach. Main topics include: vestor spac... » 

Gives an introduction to linear algebra and proves its fundamental properties and theorems taking a pure mathematical approach. Main topics include: vestor spaces and algebras; dimension; linear maps; matrices and their connections with linear maps; Cayley-Hamilton and Jordan theorems leading to the spectrum of a linear map; and Hermitian and inner product spaces introducing some metric properties into the theory. «