Linear Algebra

This course covers fundamental topics in linear algebra, including systems of linear equations, matrices, reduced echelon forms, vectors in Rⁿ, linear independence, linear transformations, matrix operations, the inverse of a matrix, determinants, vector spaces, rank, subspaces, bases, eigenvectors, eigenvalues, the characteristic equation, diagonalization, and complex eigenvalues. Students also use mathematical software to solve higher-order systems of equations and compute matrix operations.