This course equips students with basics of linear algebra. which has wide applications to diverse areas in natural science, engineering, business and social science. It covers linear equations, matrices, determinants, vector spaces, linear transformations, inner product and orthogonality, eigenvalues and eigenvectors, least squares problems and quadratic forms. The course emphasizes matrix and vector calculations, and its applications to finance and statistics.

CILO-1: Perform basic operations of matrix algebra and determinants. CILO-2: Implement various matrix techniques of solving systems of linear equations. CILO-3: Manipulate expressions and solve geometric problems involving vectors. CILO-4: Acquire some basic knowledge of vector space, subspace, and inner product space. CILO-5: Evaluate mathematical quantities associated with eigenvalues and matrix diagonalization. CILO-6: Apply methods of linear algebra to solve problems in finance and economics.