
Upon completion of this course the student is able to:
 explain definitions and theorems of Linear Algebra and use them for solving exercises,
 explain and prove properties of vector spaces,
 recognize linear transformations, obtain the representation of linear transformations in the form of matrixvector multiplication
 explain and prove properties of linear transformations,
 solve systems of linear equations in general form, and explain properties of the solution
 understand and give examples of applications of linear spaces.
Assessment
Written exam (100%)


Linear Structures 1 focuses on developing the theory and understanding the structure behind solving systems of linear equations. Such systems of linear equations form the basis for solving difference equations and differential equations, and have an enormous range of realworld applications, from mechanical systems to web search engines. The concepts that are discussed are vector spaces and related concepts such as linear subspaces; basis vectors; dimension; linear transformations; matrixvector representation of linear transformations; null space; range; inverse transformation; solution set of a linear system; rank of a matrix; and determinant. The subject Linear Structures 1 lends itself well for firstyear students to experience the abstraction of mathematics. It is expected that the student learns to establish a correct mathematical proof for the properties of vector spaces, linear transformations, linear systems, and determinants.




Bachelor Applied Mathematics 
  Required materialsBookLinear Algebra, S.H. Friedberg, A.J. Insel and L.E. Spence. ISBN: 9789332549647 

 Recommended materialsInstructional modesLectorial
 Proof of the week / PracticalPresence duty   Yes 
 Self study without assistance
 Tutorial

 TestsWritten exam


 