Linear Algebra

Served as class room instructor for the Linear Algebra course, covering systems of linear equations, matrices, determinants, vector spaces, and eigenvalues. Conducted weekly problem sessions and held office hours.

Role: Assistant Professor

Offered: Spring 2024–25

Topics Covered

• Systems of linear equations and Gaussian elimination
• Matrix operations and properties
• Determinants and their applications
• Vector spaces and subspaces
• Linear transformations and their matrix representations
• Eigenvalues and eigenvectors
• Diagonalization and applications
• Orthogonality and least squares problems
• Inner product spaces and orthogonal projections
• Applications of linear algebra in various fields (ODEs)