END 210  Linear Algebra For Industrial Engineering
Course Objectives
I. To use a mathematically correct language and notation for the applications of Linear Algebra.
II. To develop computational proficiency involving procedures in Linear Algebra.
III. To understand the axiomatic structure of a modern mathematical subject and learn to construct simple proofs.
IV. To solve industrial engineering problems using Linear Algebra.
Course Description
Linear Equations and Matrices: Linear systems of equations, matrices, matrix product, algebraic properties of matrix operations, special matrices (square, symmetric, orthogonal, triangular, diagonal, etc.); Solving Linear Systems: Echelon form of a matrix and its rank, solving linear systems, elementary matrices, matrix inverses, equivalent matrices; Determinants: Definition and properties of the determinant, cofactor expansion and finding the inverse of a matrix, applications of the determinant, Cramer’s rule; Real Vector Spaces: Vectors in two and threedimensional spaces, definition of a vector space, subspaces, spanning, linear independence, basis, dimension, orthonormalization (GramSchmidt process), projection matrix; Eigenvalues and eigenvectors: Diagonalization and the matrix power, positive definite and semidefinite matrices, the Singular Value Decomposition.


Course Coordinator
Cafer Erhan Bozdağ
Course Language
Turkish


