# Linear Algebra

7.5 ECTS credits

The course treats: Systems of linear equations, vector spaces, the concepts of linear dependent/independent of sets of vectors, basis and dimension of a vector space, matrices of real numbers, determinants, rang of a matrix, scalar product, the producing of orthogonal sets from a given finite set of linearly independent vectors in a vector space of finite dimension, change of bases, eigenvectors and eigenvalues, diagonalization of matrices, orthogonal matrices, quadratic forms, curves of degree 2 in the Euclidean plane and surfaces of degree 2 in the Euclidean space with dimension 3.

Progressive specialisation:
G1F (has less than 60 credits in first‐cycle course/s as entry requirements)

Education level:
Undergraduate level

Admission requirements:
Attended courses Foundation course in Mathematics, 7.5 ECTS credits, Fundamental concepts and proofs in Mathematics, 6 ECTS credits and Calculus and Geometry, 7.5 ECTS credits, or equivalent.

Selection:

Selection is usually based on your grade point average from upper secondary school or the number of credit points from previous university studies, or both.

### This course is included in the following programme

- Mathematics Programme (studied during year 1)
- Mathematics, Business Administration and Economics (studied during year 1)
- Master of Science in Engineering, Degree Programme in Environmental and Energy Engineering (studied during year 1)