Course details

Linear Algebra and Geometry

ILA Acad. year 2003/2004 Winter semester 4 credits

Current academic year

Matrices and linear systems. Matrix operatins. Rank of a matrix. The homogenious and non-homogenious linear system and its solution. The inverse matrix. The determinant. The cofactor expansion. The adjoint matrix. Cramer's rule. Vector spaces. The basis and the dimension. The transition matrix. The inner product. Orthogonalization. The orthogonal projection. Operations with vector spaces. The eigenvalues and eigenvectors. The quadratic forms, conic sections and quadratic surfaces. The linear analytic geometry. The vector calculus in R^3.

Details ...

Guarantor

Krupková Vlasta, RNDr., CSc.

Language of instruction

Czech

Completion

Examination

Time span

Department

Department of Mathematics (UMAT)

Subject specific learning outcomes and competences

The student will obtain the basic knowledge of the methods and usage of linear algebra and geometry and will start learning to use the mathematical software.

Learning objectives

The student will learn to solve the linear systems of equations and get basic knowledge from the matrix theory, the theory of the vector spaces and geometry which is necessary for well-understanding to the related courses. In the laboratory practices the student will learn to use MATLAB software for solving problems of linear algebra.

Progress assessment

The active attendance at the computer practices.

Course inclusion in study plans

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