Course Information

Course Code:
Course Number:
Code Course Name Language Type
MAT 143 Linear Algebra Turkish Compulsory
Local Credits ECTS Theoretical Tutorial Laboratory
4 4.5 4 0 0
Course Prerequisites and Class Restriction
Prerequisites None
Class Restriction None
Course Description
Linear Equations and Matrices; Systems of linear equations, Matrices, Matrix algebra, Special types of matrices, Solving Linear Systems; Echelon form a matrix, Solutions of systems of linear equations, Elementary matrices, Inverse of a matrix. Determinants; Definition, Properties of determinants, Cofactor and adjoint of a matrix, derivation of inverse matrix. Cramer's rule. Real Vector Spaces; Definition of vector spaces, Subspaces, Linear independence, Bases and dimension, Coordinates, Change of basis and rank of a matrix. Inner Product Spaces; Standard inner product, Orthogonal subspaces, Orthogonal complement of a subspace, Inner product spaces, Cauchy-Schwarz inequality, Orthogonal basis, Gram-Schmidt method. Linear Transformations and Matrices; Definition of a linear transformations, The kernel and range of a linear transformation, Matrix representations of a linear transformations.