MATA125 Matrix Analysis (4 cr)

Real and complex vector spaces; eigenvalues; Hermitian, unitary and normal matrices; definiteness of matrices; matrix decompositions incl. spectral and singular value decomposition; matrix norms.

After completing the course the student

• understands the connection between linear mappings and matrices
• knows complex vector spaces and knows how to use the complex inner product in examining matrices
• knows different types of matrices and their properties
• is able to solve whether a square matrix is diagonalizable and determine its spectral presentation
• is able to determine the definiteness of a square matrix and compute its square root
• knows how to compute certain matrix decompositions and knows some of their applications
• knows how to compute different matrix norms and knows some of their applications

Linear algebra and geometry 1 and 2, basics on complex numbers

Luentomoniste