Описание:Course Description: Introduces and provides models for application of the concepts of vector algebra.
Topics include finite dimensional vector spaces and their geometric significance; representing and solving
systems of linear equations using multiple methods, including Gaussian elimination and matrix inversion;
matrices; determinants; linear transformations; quadratic forms; eigenvalues and eigenvector; and
applications in science and engineering.
Student’s Learning Outcomes: Upon successful completion of this course (if grade is >=70) students will:
1. Solve systems of linear equations using multiple methods, including Gaussian elimination and matrix
inversion.
2. Carry out matrix operations, including inverses and determinants.
3. Demonstrate understanding of the concepts of vector space and subspace.
4. Demonstrate understanding of linear independence, span, and basis.
5. Determine eigenvalues and eigenvectors and solve problems involving eigenvalues.
6. Apply principles of matrix algebra to linear transformations. Kernel and Range of Linear mapping
7. Demonstrate application of inner products and associated norms.
