EEF 281E - Linear Algebra & Applications

Course Objectives

1. To provide the methods of solution of systems of linear equations
2. To provide a working knowledge of the notions of vector spaces and sub-spaces
3. To give the ability to apply knowledge of linear algebra to engineering problems

Course Description

Matrices and System of Equations,
Systems of Linear Equations, Row Echelon Form,
Matrix Algebra, Elementary Matrices, Determinants,
Vector Spaces, Sub-spaces,
Linear Independence,
Basis and Dimension, Change of Basis,
Row Space end Column Space,
Orthogonality, Orthogonal Sub-spaces, Orthonormal Sets,
The Gram-Schmidt Orthogonalization Process,
Eigenvalues and Eigenvectors,
Diagonalization