- System of linear equations, matrix, matrix multiplication, matrix transformation.
- Echelon form of a matrix, solving a linear system, elementary matrix, finding the inverse of a matrix, equivalent matrices.
- Properties of determinants, cofactor expansion, the inverse of a matrix.
- Vectors in the plane and in the space, vector space, subspace, span, linear independence, basis and dimension.
- Length and direction in the plane and in the space, orthogonal complement, least squares.
- Eigenvalues and eigenvectors, diagonalisation, similar matrices, diagonalisation of a symmetric matrix.
Contents in modules:
the course consists of (parts of) the modules L1a, L1b, L1c, L2a, L2b, L2c, L3a, L3b, L3c, L4a, L4b. |