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noc21_ma65_assignment_Week_1noc21_ma65_assignment_Week_1
noc21_ma65_assignment_Week_10noc21_ma65_assignment_Week_10
noc21_ma65_assignment_Week_11noc21_ma65_assignment_Week_11
noc21_ma65_assignment_Week_2noc21_ma65_assignment_Week_2
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noc21_ma65_assignment_Week_8noc21_ma65_assignment_Week_8
noc21_ma65_assignment_Week_9noc21_ma65_assignment_Week_9
noc21_ma65assignment_Week12noc21_ma65assignment_Week12


Sl.No Chapter Name MP4 Download
1Binary Operation and GroupsDownload
2Vector SpacesDownload
3Some Example of Vector SpacesDownload
4Some Example of Vector Spaces (contd.)Download
5Subspace of a Vector SpaceDownload
6Spanning SetDownload
7Properties of SubspaceDownload
8Properties of Subspace (contd.)Download
9Linearly independent and dependent vectorsDownload
10Linearly independent and dependent vectors (contd.)Download
11Properties of linearly independent and dependent vectorsDownload
12Properties of linearly independent and dependent vectors (contd.)Download
13Basis and Dimension of a Vector SpaceDownload
14Examples of Basis and standard basis of a vector spaceDownload
15Linear FunctionsDownload
16Range space of a matrix and row reduced echelon formDownload
17Row equivalent matricesDownload
18Row equivalent matrices (contd.)Download
19Null Space of a MatrixDownload
20Four subspaces associated with a given matrixDownload
21Four subspaces associated with a given matrix (contd.)Download
22Linear Independence of the rows and columns of a matrixDownload
23Application of diagonal dominant matricesDownload
24Application of Zero Null space: Interpolating polynomial and wronskian matrixDownload
25Characterization of basis of a vector space and its subspacesDownload
26Coordinate of a vector with respect to ordered basisDownload
27Examples of different subspaces of a vector space of polynomials having degree less than or equal 3Download
28Linear transformationDownload
29Properties of linear transformationDownload
30Determining linear transformation on a vector space by its value on the basis elementDownload
31Range space and null space of a linear transformationDownload
32Rank and nuility of a linear transformationDownload
33Rank-nuility theoremDownload
34Application of rank-nuility theorem and inverse of a linear transformationDownload
35Matrix associated with linear transformationDownload
36Matrix representation of a linear transformation relative to ordered basesDownload
37Matrix representation of a linear transformation relative to ordered bases (contd.)Download
38Linear map associated with a matrixDownload
39Similar matrices and diagonalisation of matrixDownload
40Orthonormal bases of a vector spaceDownload
41Gram-Schmidt orthogonalisation processDownload
42QR factorisationDownload
43Inner Product SpacesDownload
44Inner product on different real vector spaces and basis of complex vector spaceDownload
45Inner product on complex vector spaces and Cauchy-Schwarz inequalityDownload
46Norm of a vectorDownload
47Matrix normDownload
48Sensitivity analysis of a system of linear equationsDownload
49Orthogonality of the four subspaces associated with a MatrixDownload
50Best approximation : Least square methodDownload
51Best approximation : Least square method (contd.)Download
52Jordan-Canonical FormDownload
53Some examples on the Jordan form of a given matrix and generalised eigenvectorsDownload
54Singular value decomposition (SVD) theoremDownload
55Matlab / Octave code for solving SVDDownload
56Pseudo-inverse/Moore-Penrose inverseDownload
57Householder transformationDownload
58Matlab/Octave code for Householder transformationDownload

Sl.No Chapter Name English
1Binary Operation and GroupsDownload
Verified
2Vector SpacesDownload
Verified
3Some Example of Vector SpacesDownload
Verified
4Some Example of Vector Spaces (contd.)Download
Verified
5Subspace of a Vector SpaceDownload
Verified
6Spanning SetDownload
Verified
7Properties of SubspaceDownload
Verified
8Properties of Subspace (contd.)Download
Verified
9Linearly independent and dependent vectorsDownload
Verified
10Linearly independent and dependent vectors (contd.)Download
Verified
11Properties of linearly independent and dependent vectorsDownload
Verified
12Properties of linearly independent and dependent vectors (contd.)Download
Verified
13Basis and Dimension of a Vector SpaceDownload
Verified
14Examples of Basis and standard basis of a vector spaceDownload
Verified
15Linear FunctionsDownload
Verified
16Range space of a matrix and row reduced echelon formDownload
Verified
17Row equivalent matricesDownload
Verified
18Row equivalent matrices (contd.)Download
Verified
19Null Space of a MatrixDownload
Verified
20Four subspaces associated with a given matrixDownload
Verified
21Four subspaces associated with a given matrix (contd.)Download
Verified
22Linear Independence of the rows and columns of a matrixDownload
Verified
23Application of diagonal dominant matricesDownload
Verified
24Application of Zero Null space: Interpolating polynomial and wronskian matrixDownload
Verified
25Characterization of basis of a vector space and its subspacesDownload
Verified
26Coordinate of a vector with respect to ordered basisDownload
Verified
27Examples of different subspaces of a vector space of polynomials having degree less than or equal 3Download
Verified
28Linear transformationDownload
Verified
29Properties of linear transformationDownload
Verified
30Determining linear transformation on a vector space by its value on the basis elementDownload
Verified
31Range space and null space of a linear transformationDownload
Verified
32Rank and nuility of a linear transformationDownload
Verified
33Rank-nuility theoremDownload
Verified
34Application of rank-nuility theorem and inverse of a linear transformationDownload
Verified
35Matrix associated with linear transformationDownload
Verified
36Matrix representation of a linear transformation relative to ordered basesDownload
Verified
37Matrix representation of a linear transformation relative to ordered bases (contd.)Download
Verified
38Linear map associated with a matrixDownload
Verified
39Similar matrices and diagonalisation of matrixDownload
Verified
40Orthonormal bases of a vector spaceDownload
Verified
41Gram-Schmidt orthogonalisation processDownload
Verified
42QR factorisationDownload
Verified
43Inner Product SpacesDownload
Verified
44Inner product on different real vector spaces and basis of complex vector spaceDownload
Verified
45Inner product on complex vector spaces and Cauchy-Schwarz inequalityDownload
Verified
46Norm of a vectorDownload
Verified
47Matrix normDownload
Verified
48Sensitivity analysis of a system of linear equationsDownload
Verified
49Orthogonality of the four subspaces associated with a MatrixDownload
Verified
50Best approximation : Least square methodDownload
Verified
51Best approximation : Least square method (contd.)Download
Verified
52Jordan-Canonical FormDownload
Verified
53Some examples on the Jordan form of a given matrix and generalised eigenvectorsDownload
Verified
54Singular value decomposition (SVD) theoremDownload
Verified
55Matlab / Octave code for solving SVDDownload
Verified
56Pseudo-inverse/Moore-Penrose inverseDownload
Verified
57Householder transformationDownload
Verified
58Matlab/Octave code for Householder transformationDownload
Verified


Sl.No Language Book link
1EnglishNot Available
2BengaliNot Available
3GujaratiNot Available
4HindiNot Available
5KannadaNot Available
6MalayalamNot Available
7MarathiNot Available
8TamilNot Available
9TeluguNot Available