Matrix Algebra (OPEN UNI)

8.8.2025 - 31.12.2025

5 cr

Registration open

Face-to-face

Basic concepts and basic operations for matrices. Systems of linear equations. Vector spaces. Matrix subspaces. Linear mappings and change of basis. Eigenvalues and eigenvectors of square matrix. Diagonalization of a square matrix with applications. LU and QR factorizations. Iterative solution of a system of linear equations. Least squares solution. Cauley-Hamilton theorem and its applications.

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Additional information:

Fields

Engineering and technology

Scope

5 cr

Code

AY031078P

After completing the course, the student - Can perform basic matrix operations and recognize basic types of matrices - Can solve systems of linear equations using matrices, can apply LU and QR factorizations for solutions and understands basic principles of iterative solutions and overdetermined systems - Recognizes vector spaces and understands how basis and dimension describe vector spaces - Understands how linear mappings can be represented using matrices - Can analyze matrices using subspaces, vectors and linear spaces - Can evaluate determinant, eigenvalues, and eigenvectors of a square matrix can diagonalize square matrices, and can apply diagonalization in simple problems - Understands basic principles of iterative methods for finding eigenvalues

Organiser

Oulun yliopisto

Contact details

avoin.yliopisto@oulu.fi

Belongs to themes:

New technologies

Education and learning