Modules / Lectures
Module NameDownload


Sl.No Chapter Name MP4 Download
1Notations, Motivation and DefinitionDownload
2Matrix: Examples, Transpose and Addition Download
3Matrix Multiplication Download
4Matrix Product RecalledDownload
5Matrix Product ContinuedDownload
6Inverse of a MatrixDownload
7Introduction to System of Linear EquationsDownload
8Some Initial Results on Linear SystemsDownload
9Row Echelon Form (REF)Download
10LU Decomposition - Simplest FormDownload
11Elementary Matrices Download
12Row Reduced Echelon Form (RREF)Download
13Row Reduced Echelon Form (RREF) ContinuedDownload
14RREF and InverseDownload
15Rank of a matrix Download
16Solution Set of a System of Linear Equations Download
17System of n Linear Equations in n Unknowns Download
18Determinant Download
19Permutations and the Inverse of a Matrix Download
20Inverse and the Cramer's Rule Download
21Vector SpacesDownload
22Vector Subspaces and Linear Span Download
23Linear Combination, Linear Independence and Dependence Download
24Basic Results on Linear Independence Download
25Results on Linear Independence Continued... Download
26Basis of a Finite Dimensional Vector Space Download
27Fundamental Spaces associated with a Matrix Download
28Rank - Nullity TheoremDownload
29Fundamental Theorem of Linear Algebra Download
30Definition and Examples of Linear Transformations Download
31Results on Linear Transformations Download
32Rank-Nullity Theorem and Applications Download
33Isomorphism of Vector Spaces Download
34Ordered Basis of a Finite Dimensional Vector Space Download
35Ordered Basis ContinuedDownload
36Matrix of a Linear transformation Download
37Matrix of a Linear transformation Continued...Download
38Matrix of Linear Transformations Continued...Download
39Similarity of Matrices Download
40Inner Product Space Download
41Inner Product Continued Download
42Cauchy Schwartz Inequality Download
43Projection on a Vector Download
44Results on Orthogonality Download
45Results on Orthogonality.Download
46Gram-Schmidt Orthonormalization ProcessDownload
47Orthogonal Projections Download
48Gram-Schmidt Process: Applications Download
49Examples and Applications on QR-decomposition Download
50Recapitulate ideas on Inner Product Spaces Download
51Motivation on Eigenvalues and EigenvectorsDownload
52Examples and Introduction to Eigenvalues and EigenvectorsDownload
53Results on Eigenvalues and EigenvectorsDownload
54Results on Eigenvalues and Eigenvectors Download
55Results on Eigenvalues and Eigenvectors.Download
56Diagonalizability Download
57Diagonalizability Continued...Download
58Schur's Unitary Triangularization (SUT) Download
59Applications of Schur's Unitary TriangularizationDownload
60Spectral Theorem for Hermitian Matrices Download
61Cayley Hamilton Theorem Download
62Quadratic Forms Download
63Sylvester's Law of Inertia Download
64Applications of Quadratic Forms to Analytic Geometry Download
65Examples of Conics and Quartics Download
66Singular Value Decomposition (SVD) Download

Sl.No Chapter Name English
1Notations, Motivation and DefinitionDownload
To be verified
2Matrix: Examples, Transpose and Addition Download
To be verified
3Matrix Multiplication Download
To be verified
4Matrix Product RecalledDownload
To be verified
5Matrix Product ContinuedDownload
To be verified
6Inverse of a MatrixDownload
To be verified
7Introduction to System of Linear EquationsDownload
To be verified
8Some Initial Results on Linear SystemsDownload
To be verified
9Row Echelon Form (REF)Download
To be verified
10LU Decomposition - Simplest FormDownload
To be verified
11Elementary Matrices Download
To be verified
12Row Reduced Echelon Form (RREF)Download
To be verified
13Row Reduced Echelon Form (RREF) ContinuedDownload
To be verified
14RREF and InverseDownload
To be verified
15Rank of a matrix Download
To be verified
16Solution Set of a System of Linear Equations Download
To be verified
17System of n Linear Equations in n Unknowns Download
To be verified
18Determinant Download
To be verified
19Permutations and the Inverse of a Matrix Download
To be verified
20Inverse and the Cramer's Rule Download
To be verified
21Vector SpacesDownload
To be verified
22Vector Subspaces and Linear Span Download
To be verified
23Linear Combination, Linear Independence and Dependence Download
To be verified
24Basic Results on Linear Independence Download
To be verified
25Results on Linear Independence Continued... Download
To be verified
26Basis of a Finite Dimensional Vector Space Download
To be verified
27Fundamental Spaces associated with a Matrix Download
To be verified
28Rank - Nullity TheoremDownload
To be verified
29Fundamental Theorem of Linear Algebra Download
To be verified
30Definition and Examples of Linear Transformations Download
To be verified
31Results on Linear Transformations Download
To be verified
32Rank-Nullity Theorem and Applications Download
To be verified
33Isomorphism of Vector Spaces Download
To be verified
34Ordered Basis of a Finite Dimensional Vector Space Download
To be verified
35Ordered Basis ContinuedDownload
To be verified
36Matrix of a Linear transformation Download
To be verified
37Matrix of a Linear transformation Continued...Download
To be verified
38Matrix of Linear Transformations Continued...Download
To be verified
39Similarity of Matrices Download
To be verified
40Inner Product Space Download
To be verified
41Inner Product Continued Download
To be verified
42Cauchy Schwartz Inequality Download
To be verified
43Projection on a Vector Download
To be verified
44Results on Orthogonality Download
To be verified
45Results on Orthogonality.Download
To be verified
46Gram-Schmidt Orthonormalization ProcessDownload
To be verified
47Orthogonal Projections Download
To be verified
48Gram-Schmidt Process: Applications Download
To be verified
49Examples and Applications on QR-decomposition Download
To be verified
50Recapitulate ideas on Inner Product Spaces Download
To be verified
51Motivation on Eigenvalues and EigenvectorsDownload
To be verified
52Examples and Introduction to Eigenvalues and EigenvectorsDownload
To be verified
53Results on Eigenvalues and EigenvectorsDownload
To be verified
54Results on Eigenvalues and Eigenvectors Download
To be verified
55Results on Eigenvalues and Eigenvectors.Download
To be verified
56Diagonalizability Download
To be verified
57Diagonalizability Continued...Download
To be verified
58Schur's Unitary Triangularization (SUT) Download
To be verified
59Applications of Schur's Unitary TriangularizationDownload
To be verified
60Spectral Theorem for Hermitian Matrices Download
To be verified
61Cayley Hamilton Theorem Download
To be verified
62Quadratic Forms Download
To be verified
63Sylvester's Law of Inertia Download
To be verified
64Applications of Quadratic Forms to Analytic Geometry Download
To be verified
65Examples of Conics and Quartics Download
To be verified
66Singular Value Decomposition (SVD) Download
To be verified


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2BengaliNot Available
3GujaratiNot Available
4HindiNot Available
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6MalayalamNot Available
7MarathiNot Available
8TamilNot Available
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