Free Online Course: Basic Linear Algebra provided by Swayam is a comprehensive online course, which lasts for 8 weeks long. The course is taught in English and is free of charge. Upon completion of the course, you can receive an e-certificate from Swayam. Basic Linear Algebra is taught by Prof. I.K.Rana.
8 weeks long
Finished
Linear Algebr is a basic course for students intended to go for Engineering sudies and higher studies in Mathematics. We will cover the basic tools needed in these brances.INTENDED AUDIENCE : B.Tech, B.Sc., M.Sc (maths) , BA/MA Economics/StatisticsPREREQUISITES : CoreINDUSTRY SUPPORT : Basic mathematics at school level undergraduate level
Week 1: Matrices and Matrix operations, REF
Week 2: Linear systems, Gauss Elimination and Inverse of a matrix
Week 3: Rn; subspaces, linear independence, rank of a matrix
Week 4: Determinants, rank, inveribility
Week 5: Linear transformations,rank-nullity
Week 6: Inner product spaces, Gram-Schmidt process
Week 7: Eigenvalues and Eigenvectors
Week 8: Similarity, diagonalization and applications
