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Course unit, curriculum year 2024–2025

MATH.APP.410

Matrix Analysis, 5 cr

Tampere University

Description
Completion options

Teaching periods

Course code

MATH.APP.410

Language of instruction

English, Finnish

Academic years

2024–2025, 2025–2026, 2026–2027

Level of study

Intermediate studies

Grading scale

General scale, 0-5

Persons responsible

Responsible teacher:

Henrik Wirzenius

Responsible teacher:

Mika Mattila, (primary)

Responsible organisation

Faculty of Information Technology and Communication Sciences 100 %

Coordinating organisation

Computing Sciences Studies 100 %

Core content

Basics of linear algebra for complex vectors and matrices
LU-decomposition and Gaussian elimination
Linear algebra in n-dimensional spaces. Basis. Orthogonalisation, orthonormal basis. Change of basis.
Projector matrices.
Eigenvalues and eigenvectors and spectral decomposition of a matrix
Jordan canonical form
Singular value decomposition, matrix norm, pseudoinverse
Random vectors and matrices
Linear model (estimation and testing)

Complementary knowledge

Use of Matlab

Specialist knowledge

Applications

Learning outcomes

Prerequisites

Further information

Learning material

Equivalences

Studies that include this course

Completion option 1

The teaching language of this implementation is Finnish.

Completion of all options is required.

Exam

No scheduled teaching

Participation in teaching

1. Lectures (English)

27.08.2024 – 15.10.2024

2. Lectures (Finnish)

08.01.2025 – 25.02.2025

Completion option 2

The teaching language of this implementation is English. Passing exam is required for passing the course. Exercise activity will have a positive affect on the grading.