Introduction to Linear Algebra and Analytic Geometry

Course content

Fundamental Principle of Analytic Geometry, Coordinate Systems in R^2 and R^3 vectors in R^2 and R^3. Dot product, cross product, lines, planes, distance, vector spaces, systems of linear equations, matrices, diagonalization of 2x2 and 3x3 matrices, conic sections and quadric surfaces, classification of quadric surfaces and curves (as an application of diagonalization).