
Course Description
This course introduces learners to the basic concepts of linear algebra. It focuses on vectors, matrices, and systems of linear equations, and how they are used to solve real-life and mathematical problems. The course builds a strong foundation for further studies in mathematics, engineering, and technology.
Learning Outcomes
By the end of this course, learners will be able to:
-
Define vectors, matrices, and linear equations.
-
Solve systems of linear equations using different methods.
-
Perform basic operations with matrices.
-
Apply linear algebra concepts to solve simple practical problems.
Core Topics
-
Vectors and Vector Operations
-
Definition of vectors
-
Vector addition and scalar multiplication
-
-
Matrices and Matrix Operations
-
Types of matrices
-
Addition, subtraction, and multiplication
-
-
-
Solving using substitution and elimination
-
Solving using matrices
-
-
Applications of Linear Algebra
-
Real-life applications
-
Problem solving using vectors and matrices
-
Sample Interactive Activities
-
Discussion Forum:
Learners introduce themselves and share where linear algebra is used in real life. -
Practice Quiz:
Short quizzes on vectors and matrix operations with instant feedback. -
Problem-Solving Assignment:
Solve systems of linear equations and submit answers. -
Group Activity:
Learners work together to solve a real-life problem using matrices.
- Teacher: Kithinji Trainer