This book presents a resume of the Matrix Calculus and the methods of Resolutionof linear System with m equations and in n unknowns assuming values in R.

This work follows after the courses of Linear Algebra that the Professor Lus Vieira, has given on the Department of Mathematics of University of University of Aveiro and on the section of Mathematics of Department of Cívil Engineering of the Faculty Engineering of University of Porto. 

This book is finished with a chapter where some exercises on Matrix Calculus and Linear Systems are proposed followed with a chapter of solutions.