Some proofs are required. Individual work only. Linear Algebra is the study of matrices, vector spaces, and linear transformations. The course covers Linear equations, matrices, determinants, vectors and vector spaces, linear transformations, eigenvalues and eigenvectors, and a selection of applications relative to physics, chemistry, engineering, biology, and economics. Geometric intuition is emphasized and notions of two and three dimensional space will be generalized.
Computational techniques go along with some theoretical aspects of the field.
This course introduces students to axiomatic mathematics and proofs as well as fundamental mathematical ideas. The development of logic skills and mathematical talents is emphasized. For any matrix A, the product A TA is symmetric. Show that the inverse of an orthogonal matrix is also orthogonal. State the fundamental theorem of linear systems.