Vectors and matrices

Course content:

• Systems of linear equations: solving using Gaussian elimination.
• Linear independence of Euclidian space, subspaces, basis, rank, and dimension of Euclidian space.
• Lines and planes.
• Matrices: matrix algebra, matrix product, the transpose, the inverse, the determinant, Eigenvalues and eigenvectors. The cross product, the dot product and the vector triple product of vectors.
• Basic competence in using Matlab to solve mathematical problems.

In this course, the student learns the basic theory and methods of linear algebra and matrix analysis. The student learns how to prove theorems and solve problems using mathematical methods and to present solutions orally and in written form.

More information in Tampere University’s study guide.

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