Linear Algebra
Advanced Courses
Linear Algebra
Not Currently Offered
Course Pricing:
- Online : N/A
- Houston Center : N/A
- Cupertino Center : N/A
Course Logistics:
Duration : N/A
Number of Classes : N/A
Occurs : N/A
Course Topics:
Course Topics are organized as six modules with five granular topics covered under each module. Click through below to see all modules/topics for this course.
Introduction to Vector Spaces
Includes definition of a vector space, subspaces, spans, linear independence, and basis/dimension.
Linear Maps
Includes maps, nullspace/kernel, injective/surjective/bijective spaces, isomorphisms, matrices, rank nullity, and product/quotient spaces.
Eigenvalues and Eigenvectors
Includes eigenvalues, eigenvectors, characteristic polynomials, invariant subspaces, upper triangular matrices, eigenspaces, and diagonalization.
Inner Product Spaces
Includes generalized Cauchy-Schwarz inequalities, orthonormal bases, Gram-Schmidt process, and orthonormal complements.
Operators over Vector Spaces
Includes adjoint operators, normal operators, the Spectral Theorem, positive operators, isometries, and singular value decomposition.
Trace, Determinants, and other applications
Relates trace and determinant to the previous, more abstract ideas, to tie together loose ends.
