Basic Linear Algebra
Offered By: Indian Institute of Technology Bombay via Swayam
Course Description
Overview
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
Syllabus
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
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
Taught by
Prof. I.K.Rana
Tags
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