LINEAR ALGEBRA

General Info

• Course Title: Linear Algebra
• Course Code: NAOME1106
• Semester: 1st
• Course Type: G.B.¹
• Weekly Teaching Hours: 4 (Lectures)
• Credits (ECTS): 4
• Offered to ERASMUS+ students: Yes
• Course Website: https://eclass.uniwa.gr/courses/NA232/
• Professors: P. Lalou

Course Content / Syllabus

Elements of Analytic Geometry Vectors and geometry in two and three space dimensions, scalar and vector products, linear combinations, projection. Straight lines and planes in three dimensions and the relationships between them.
Linear Algebra Systems of linear equations, row reduction and Echelon forms Matrix algebra: matrix operations, inverse of a matrix, invertible matrices Determinants Vector spaces and subspaces: span, linear independence, bases and dimension. Inner product spaces: Scalar or inner products, Cauchy-Schwartz inequality, orthogonality, orthogonal projection, orthonormal bases, Gram-Schmidt process. Linear transformations: Row and Column rank of a matrix, applications to systems of equations, range, kernel, rank and nullity, invertibility of linear transformations, linear transformations and matrices.

Course Outline