A 15 lecture course which introduces intermediate level topics in Linear Algebra.
Assumes that Linear Algebra I is covered. Specifically assumes knowledge of the following topics:
From 30th March to 4th May, 2021, Tuesdays, Thursdays and Saturdays
Weekly tutorials conducted by TAs in smaller groups as per times fixed.
I will be available on Teams during the timings given bellow, for clearing any doubts. You can sent a direct message to me for joining.
Students are expected to spent atleast 12 hrs per week. Roughly
The resources provided are licenced under Creative Commons/Open Licences and hence downloadable.
[CDTW] Linear Algebra
David Cherney, Tom Denton, Rohit Thomas and Andrew Waldron
[WKN] Linear Algebra with Applications
W. Keith Nicholson
[MR] Interative Linear Algebra
Dan Margalit and Joseph Rabinoff
Down with Determinants
Sheldon Axler
Linear Algebra Done Right Videos
Sheldon Axler
The Fast Fourier Transform and Polynomial Multiplication
Mordecai GOLIN
[GS] Linear Algebra MIT OCW Course Materials
Gilbert Strang
Richard Feynman, His Life, and the Art of Solving Important Problems
Blog Post
How to Solve it
G. Polya
Shorter Version
Recalling Basics | Function Spaces | Random Walk on Graphs
Definitions | Characteristic Polynomial | Examples
Eigenvector Basis and Powering | Multiplicities
Submit by 13th April
Jordan Form | Norms | Distance | Inner Product | Complex Case
Orthogonal & Orthonormal Vectors | Gram-Schmidt Orthogonalization
Subspace Projections | Orthogonal Complements | Fitting with Errors
Best fit vector on a subspace | Least Squares Fitting Equation
Submit by 26th April
Submit by 27nd April
On 4th May