MAK 114 - Linear Algebra and Applications

Course Objectives

1.To provide the methods of solution of systems of linear equations.
2. To provide the applications of matrix and determinant.
3. To give an ability to apply knowledge of linear algebra on engineering problems.

Course Description

Matrices and System of Equations, Systems of Linear Equations, Row Echelon Form, MatrixAlgebra, Elementary Matrices, Determinants, The Determinant of a Matrix, Properties ofDeterminants, Cramer’s Rule, Vector Spaces, Definition of Vector Space, Subspaces, LinearIndependence, Basis and Dimension, Change of Basis, Row Space end Column Space,
Linear transformations, Matrix Representations of Linear Transformations, Ortogonallik, TheScalar Product, Orthogonal Subspaces, Inner Product Spaces, Orthonormal Sets, TheGram-Schmidt Orthogonalization Process, Eigenvalues and Eigen vectors, Diagonalization.