Motivation and presentation of the Course

An algebra course based on orthogonality.

An algebra course based on orthogonality. All algebra problems are solved using an orthogonalization algorithm. It contains examples of engineering applications.

An introduction to linear algebra

The algebra course I is motivated. One single algorithm, that gives the orthogonal subspace of a linear subspace y presented and used to solve all common problems of linear algebra. The point of view of orthogonality enriches the view of the different problems of linear algebra, including the subspace intersections, linear systems of equations, compatibility of linear systems of equations, etc. Several interesting example of applications are given.