| 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. |
|
