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Linear Algebra
University of Galway - Direct Enroll Program
Galway, Ireland
Dates: early Jan 2026 - mid May 2026
Linear Algebra
OVERVIEW
CEA CAPA Partner Institution: University of Galway
Location: Galway, Ireland
Primary Subject Area: Mathematics
Instruction in: English
Course Code: MA203
Transcript Source: Partner Institution
Course Details: Level 200
Recommended Semester Credits: 2.5
Contact Hours: 36
DESCRIPTION
An introduction to the theory and application of linear algebra.
Learning Outcomes
1. Draw diagrams that illustrate the basic operations of vector algebra in two and three dimensions;
2. Recognise the equations of lines and planes in two and three dimensions;
3. Perform the matrix computations outlined in the syllabus description below;
4. Solve a linear system using Gaussian elimination;
5. Compute the inverse of an invertible matrix;
6. Find the orthogonal projection of a vector onto a hyperplane;
7. Compute the determinant of a square matrix;
8. Compute the characteristic equation of a matrix;
9. Find the eigenvectors corresponding to a given eigenvalue;
10. Diagonalise a diagonalisable matrix;
Learning Outcomes
1. Draw diagrams that illustrate the basic operations of vector algebra in two and three dimensions;
2. Recognise the equations of lines and planes in two and three dimensions;
3. Perform the matrix computations outlined in the syllabus description below;
4. Solve a linear system using Gaussian elimination;
5. Compute the inverse of an invertible matrix;
6. Find the orthogonal projection of a vector onto a hyperplane;
7. Compute the determinant of a square matrix;
8. Compute the characteristic equation of a matrix;
9. Find the eigenvectors corresponding to a given eigenvalue;
10. Diagonalise a diagonalisable matrix;