LINEAR ALGEBRA (2 Credits)

Learning Outcomes:

1. Solve Systems of Linear Equations using Gaussian Elimination and Gauss-Jordan Elimination
2. Perform basic Matrix Operations, including Addition, Subtraction, Scalar Multiplication, Matrix Multiplication, and Matrix Transposition
3. Compute Determinant and Inverse of matrix using various methods
4. Explain Vector Operations in 2D and 3D, including Addition, Scalar Multiplication, Dot Product, Cross Product, and Vector Projection
5. Define whether a given transformation is a Linear Transformation by verifying the properties
6. Compute the Eigenvalues and corresponding Eigenvectors of a square matrix

Topics:

1. System of Linear Equations
2. Matrix Operations
3. Determinant and Inverse of Matrix
4. Vector Operations
5. Linear Transformation
6. Eigenvalues and Eigenvectors
7. Review and Exercise