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• System of Equatons, Matrices. Lecture Notes. Download 

• Vector Spaces. Lecture Notes. Download

• Practical for Linear Algebra 1. Download 

• Lecture 13: Practical questions  (21/01/2022; 11.00 a.m.)

• Lecture 12: Practical questions (19/01/2022; 12.00 p.m.)

• Lecture 11: Practical questions (12/01/2022; 12.00 a.m.)

• Lecture 10: Practical questions (07/01/2022; 11.00 a.m.)

• Lecture 9: Recording NA (05/01/2022; 12.00 a.m.)

• Lecture 8: Invertible linear transformation (17/12/2021; 11.00 a.m.)

• Lecture 7: Recording NA (14/12/2021; 12.00 p.m.)

• Lecture 6: Recording NA (10/12/2021; 11.00 a.m.) 

• Lecture 5: Image and kernel of a linear transformation (03/12/2021; 11.00 a.m.)

• Lecture 4: Examples on linear transformation (01/12/2021; 12.00 p.m.)

• Lecture 3: More on linear transformation (26/11/2021; 11.00 a.m. to 11.50 a.m.)

• Lecture 2: Examples, properties of linear transformations (24/11/2021; 11.55 a.m. to 12.25 p.m.)

• Lecture 1: Introduction to Linear Transformations (17/11/2021; 12.00 p.m. to 12.50 p.m.)

• Lecture 20: Subspaces examples (22/09/2021; 12.00 p.m.) 

• Lecture 19: Subspaces examples (17/09/2021; 11.00 a.m.)

• Lecture 18: Subspaces examples  (15/09/2021; 12.00 p.m.)

• Lecture 17: Introduction to subspaces (03/09/2021; 11.00 a.m.)

• Lecture 16: Space of continuous functions  (01/09/2021; 12.00 p.m.)

• Lecture 15: Polynomials as vector space  (27/08/2021; 11.00 a.m.)

• Lecture 14: Examples on vector spaces (25/08/2021; 12.00 p.m.)

• Lecture 13: Vector spaces (20/08/2021; 11.00 a.m.)

• Lecture 12: Practical 2 (Contd.)  (18/08/2021; 12.00 p.m.)

• Lecture 11: Practical 2 (11/08/2021; 12.00 p.m.)

• Lecture 10: Gaussian elimination method to find inverse  (06/08/2021; 11.00 a.m.)

• Lecture 9: Practical 1 (04/08/2021; 12.00 p.m.)

• Lecture 8: Elementary matrices, invertibility  (30/07/2021; 11.00 a.m.)

• Lecture 7: Equivalent matrices, row equivalent matrices and elementary matrices  (28/07/2021; 11.00 a.m.)

• Lecture 6: Solving homogeneous systems  (23/07/2021; 11.00 a.m.)

• Lecture 5: Investigating consistency of systems (16/07/2021; 11.00 a.m.)

• Lecture 4: Solving a 3 by 3 system using the Gaussian elimination method  (09/07/2021; 11.00 a.m.)

• Lecture 3: Writing a system in matrix form, types of matrices  (29/06/2021; 11.00 a.m.)

• Lecture 2: Understanding geometry of 2 by 2 and 3 by 3 systems of homogenous and non-homogeneous equations (25/06/2021; 11.00 a.m.)

• Lecture 1: Introduction, system of equations  (18/06/2021; 11.00 a.m.)

• Lecture 11: Cyclic subgroups and properties (08/04/2021; 12.30 p.m. to 1.20 p.m.)

• Lecture 10: Cyclic groups and subgroups: properties and results (01/04/2021; 12.15 p.m. to 1.05 p.m.)

• Lecture 9 (1),  Lecture 9 (2) : Cyclic groups (25/03/2021; 12.15 p.m. to 1.05 p.m.)

• Lecture 8: Order of elements and subgroups  (18/03/2021; 12.15 p.m. to 1.05 p.m.)

• Lecture 7: Sn, GL(n, R) and SL(n,R)  (04/03/2021; 12.15 p.m. to 1.05 p.m.)

• Lecture 6: K4 and symmetric group (25/02/2021; 12.12 p.m. to 1.05 p.m.)

• Lecture 5: Residual classes and prime residual classes modulo n (18/02/2021; 12.15 p.m. to 1.05 p.m.)

• Lecture 4: Roots of unity, Q8  (11/02/2201; 12.15 p.m. to 1.05 p.m.)

• Lecture 3: Groups-example and practical questions (27/01/2021; 12.15 p.m.to 1.05 p.m.)

• Lecture 2: Groups- definition and examples (11/01/2021; 12.15 p.m. to 1.05 p.m.)

• Lecture 1: Properties and definitions of operator (07/01/20201; 2.30 p.m. to 3.20 p.m.)

Find here the lecture recordings for Linear Algebra: Inner Product Spaces

• Lecture 23: Orthogonal Complements and Gram-Schmidt Process (21st December 2020; 12.15 p.m. to 1.05 p.m.) 

• Lecture 22: Orthogonal vectors, orthogonal and orthonormal sets, orthogonal and orthonormal basis, Pythagoras theorem, Cauchy Schwarz inequality (7th December 2020; 12.15 p.m. to 1.30 p.m.)

• Lecture 21: Inner Product on the space of real valued continuous functions; Norm and distance in an IPS (3rd December 2020; 12.15 p.m. to 1.05 p.m)

• Lecture 20 (23rd November 2020; 12.15 p.m. to 1.05 p.m.)

• Lecture 19 (19th November 2020; 12.15 p.m. to 1.05 p.m.) 

Find here the lecture recordings for Linear Algebra: Linear Transformations and Matrices.

• Lecture 18 (9th November 2020; 12.15 p.m. to 1.05 p.m.)

• Lecture 17 (5th November 2020; 12.15 p.m. to 1.05 p.m)

• Lecture 16 (2nd November 2020; 12.15 p.m. to 1.05 p.m.)

• Lecture 15 (29th October 2020; 12.15 p.m. to 12.55 p.m.)

• Lecture 14 (26th October 2020; 12.15 p.m. to 1.05 p.m.)

• Lecture 13 (22nd October 2020; 12.15 p.m. to 1.05 p.m.)

• Lecture 12 (19h October 2020; 12.15 p.m. to 1.05 p.m.)

• Lecture 11 (8th October 2020; 1.05 p.m. to 1.55 p.m.)

• Lecture 10 (1st October 2020; 1.10 p.m. to 2.00 p.m.)

• Lecture 9 (24th September 2020; 1.20 p.m. to 2.10 p.m.)

• Lecture 8  (10th September 2020; 1.05 p.m. to 1.55 p.m.)

• Lecture 7 (3rd September 2020; 12.15 p.m. to 1.05 p.m.)

• Lecture 6  (27th August 2020; 12.15 p.m. to 1.05 p.m.) 

• Lecture 5 (20th August 2020; 12.15 p.m. to 1.05 p.m.)

• Lecture 4 (6th August 2020; 12.15 p.m. to 1.05 p.m.)

• Lecture 3 (30th July 2020; 12.15 p.m. to 1.05 p.m.)

• Lecture 2 (21st July 2020; 12.15 p.m. to 1.05 p.m.)

• Lecture 1  (18th July 2020; 11.00 a.m. to 11.50 a.m.)