Progress Report¶ S. No. Date Notes 1 20/08/2022 Finite dimension vector space 2 22/08/2022 Vector space 3 24/08/2022 Example of vector space 4 25/08/2022 Example of vector space and their properties 5 26/08/2022 Finite dimension 6 27/08/2022 Linear transformation 7 29/08/2022 Gaussian elimination method 8 30/08/2022 CSIR NET Exam and Syllabus 9 31/08/2022 Gaussian elimination method 10 01/09/2022 Example of gaussian elimination method 11 02/09/2022 RREF Form 12 03/09/2022 Eigen value and eigen vector 13 05/09/2022 Eigen vector 14 06/09/2022 Diagonalization 15 07/09/2022 Diagonalization 16 10/09/2022 Minimal polynomial 17 12/09/2022 Minimal polynomial 18 13/09/2022 Matrix representation of linear transformation 19 15/09/2022 Example of matrix representation of linear transformation 20 16/09/2022 Similar matrices 21 19/09/2022 Invariant subspace 22 21/09/2022 Theorem of invariant subspace 23 22/09/2022 Generalised eigenvector 24 23/09/2022 Generalised eigenspace 25 24/09/2022 Generalised eigenspace is invariant 26 27/09/2022 Theorem of invariant subspace 27 28/09/2022 Nilpotent transformation 28 28/09/2022 Jordan canonical form 29 10/10/2022 Example of jordan canonical form 30 11/10/2022 Primary decomposition theorem (statement) 31 12/10/2022 Primary decomposition theorem (proof) 32 13/10/2022 Rational canonical form 33 14/10/2022 Example of Rational canonical form 34 15/10/2022 Example of jordan canonical form 35 17/10/2022 Inner product space 36 18/10/2022 Projection 37 02/11/2022 Inner product 38 03/11/2022 Example of inner product 39 11/11/2022 Projection 40 12/11/2022 Example fo projection 41 14/11/2022 Norm 42 15/11/2022 Example of inner product 43 17/11/2022 Gaussian elimination method 44 30/11/2022 Assignment problems 45 28/11/2022 Assignment problems 46 05/12/2022 Hermition martix 47 07/12/2022 Skew- hermition matrix 48 09/12/2022 Unitary matrix 49 10/12/2022 Self adjoint operators 50 13/12/2022 Gram schmidt orthogonalization process 51 14/12/2022 Example of gram schmidt orthogonal 52 15/12/2022 Example of gram gram schmidt 53 16/12/2022 Bilinear form or transformation 54 17/12/2022 Algebra of bilinear 55 20/12/2022 Theorem :- the set of all bilinear form over a vector space v, form a vector space 56 26/12/2022 Privious class theorem continue 57 23/12/2022 Example of bilinear form 58 27/12/2022 Matrix of bilinear form Last modified on: 2023-01-04 00:13:27