Description:

Linear Algebra is a branch of mathematics that focuses on the study of vectors, vector spaces, and linear transformations. It provides essential tools and techniques for solving systems of linear equations and analyzing the properties of matrices. This course offers a comprehensive introduction to the fundamental concepts and applications of linear algebra.

Key Highlights:

• Understand vector spaces and subspaces
• Learn about matrix operations and properties
• Explore eigenvalues and eigenvectors
• Apply linear algebra to solve systems of equations
• Gain proficiency in linear transformations

What you will learn:

• Learning Outcome 1
  Develop a strong understanding of vector spaces and their properties, including linear dependence, bases, and dimension.
• Learning Outcome 2
  Acquire the skills to perform matrix operations, such as addition, subtraction, multiplication, and finding inverse matrices.
• Learning Outcome 3
  Investigate eigenvalues, eigenvectors, and their applications in diagonalization and solving linear systems.
• Learning Outcome 4
  Apply the concepts of linear algebra to solve systems of linear equations, both in matrix and vector form.
• Learning Outcome 5
  Comprehend linear transformations and their representation as matrices, including rotations, reflections, and projections.