1st Semester:
Course Name: Linear Algebra
Course Outline:
Matrices: Introduction, Transpose, Types of Matrices, Matrix Operations, Elementary Row Operations, Echelon Form and Reduced Echelon Form., System of Linear Equations: System of Homogeneous and Non-Homogeneous Linear Equations, Guass Elimination Method, Guass Jordan Method and other Methods, Applications, Inverse of Matrix, Characteristic Equations, Eigenvalues and Eigenvectors. Vector space: Vector spaces, orthogonal transformations, Linear combinations, Linear dependence, Linear independence and Bases, Inner Product Space and Quadratic forms.