This week’s topics
Vectors and matrices: matrix multiplication, inverses and solving linear systems
- Starting point: solving linear equations
- What is meant by vectors and matrices
- Row-reduction to convert a matrix to echelon form
- Solve linear systems of equations using matrices
What you will be able to do
- 5.1 Describe what is meant by vectors and matrices.
- 5.2 Use row-reduction to convert a matrix to echelon form.
- 5.3 Solve linear systems of equations using matrices.
Activity
Start with this week’s 3 videos, then: Seminar, guided reading and a short written task: describe what is meant by vectors and matrices.
Study materials
Videos
- Checking and securing understanding of solving and interpreting linear equations · Oak National Academy, Key Stage 4 (GCSE level) · for registered students
- Linear Algebra for Computer Scientists. 13. Transformation Matrices · YouTube · Computer Science Lessons · 16 min · for registered students
- Computer Graphics and Matrices (90s style) · YouTube · Lorenzo Sadun · 9 min · for registered students
Further resources
- Contemporary Mathematics, 5.2: Linear Equations in One Variable · PDF · OpenStax Contemporary Mathematics (2023), 5.2: solving linear equations, pp. 346–355 · for registered students
- Precalculus 2e, 8.8: Vectors · PDF · OpenStax Precalculus 2e (2021), 8.8: vectors, components, addition and scalar multiplication, pp. 864–894 · for registered students
- College Algebra 2e, 7.5: Matrices and Matrix Operations · PDF · OpenStax College Algebra 2e (2021), 7.5: matrix notation, addition and multiplication, pp. 716–728 · for registered students
- Array programming with NumPy · Open-access article · Harris et al. (2020), Nature. How vectors and matrices are handled in Python with NumPy arrays. · for registered students
Materials marked “for registered students” open in the student portal, which is set up as soon as you receive final acceptance.
