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;