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Linear Algebra - Period 1+2
STEM in Amsterdam Program
Amsterdam, Netherlands
Dates: 8/20/22 - 12/24/22
Linear Algebra - Period 1+2
OVERVIEW
CEA CAPA Partner Institution: Vrije Universiteit Amsterdam
Location: Amsterdam, Netherlands
Primary Subject Area: Mathematics
Instruction in: English
Course Code: X_400638
Transcript Source: Partner Institution
Course Details: Level 100
Recommended Semester Credits: 3
Contact Hours: 84
DESCRIPTION
The following subjects will be covered in this course:
- solving systems of linear equations;
- linear (in)dependence;
- matrix operations;
- determinants;
- vector spaces and subspaces;
- basis and dimension of vector spaces;
- rank of a matrix, the rank theorem;
- coordinate systems and changes of basis;
- eigenvalues and eigenvectors;
- diagonalisation of matrices;
- LU and QR factorisations of a matrix;
- inner product, length, orthogonality;
- orthogonal projections, method of least squares;
- symmetric matrices and their orthogonal diagonalisation;
- quadratic forms;
- singular value decomposition of a matrix
Contact hours listed under a course description may vary due to the combination of lecture-based and independent work required for each course therefore, CEA's recommended credits are based on the ECTS credits assigned by VU Amsterdam. 1 ECTS equals 28 contact hours assigned by VU Amsterdam.
- solving systems of linear equations;
- linear (in)dependence;
- matrix operations;
- determinants;
- vector spaces and subspaces;
- basis and dimension of vector spaces;
- rank of a matrix, the rank theorem;
- coordinate systems and changes of basis;
- eigenvalues and eigenvectors;
- diagonalisation of matrices;
- LU and QR factorisations of a matrix;
- inner product, length, orthogonality;
- orthogonal projections, method of least squares;
- symmetric matrices and their orthogonal diagonalisation;
- quadratic forms;
- singular value decomposition of a matrix
Contact hours listed under a course description may vary due to the combination of lecture-based and independent work required for each course therefore, CEA's recommended credits are based on the ECTS credits assigned by VU Amsterdam. 1 ECTS equals 28 contact hours assigned by VU Amsterdam.