Course description

Linear algebra studies vector spaces and linear transformations, focusing on vectors, matrices, and their operations. It includes solving systems of linear equations, and understanding eigenvalues and eigenvectors. This field is crucial for modeling and solving problems in engineering, computer science, and many other disciplines.

What will i learn?

• How to work with vectors and matrices, including operations like addition, multiplication, and inversion.
• Methods for solving systems of linear equations using techniques such as Gaussian elimination and matrix inversion.
• Concepts like subspaces, span, basis, and dimension, which describe the structure and properties of vector spaces.
• Understanding how transformations affect vectors, with applications in stability analysis, data reduction, and more.