Modules / Lectures

Module Name | Download |
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noc21_ma65_assignment_Week_1 | noc21_ma65_assignment_Week_1 |

noc21_ma65_assignment_Week_10 | noc21_ma65_assignment_Week_10 |

noc21_ma65_assignment_Week_11 | noc21_ma65_assignment_Week_11 |

noc21_ma65_assignment_Week_2 | noc21_ma65_assignment_Week_2 |

noc21_ma65_assignment_Week_3 | noc21_ma65_assignment_Week_3 |

noc21_ma65_assignment_Week_4 | noc21_ma65_assignment_Week_4 |

noc21_ma65_assignment_Week_5 | noc21_ma65_assignment_Week_5 |

noc21_ma65_assignment_Week_6 | noc21_ma65_assignment_Week_6 |

noc21_ma65_assignment_Week_7 | noc21_ma65_assignment_Week_7 |

noc21_ma65_assignment_Week_8 | noc21_ma65_assignment_Week_8 |

noc21_ma65_assignment_Week_9 | noc21_ma65_assignment_Week_9 |

noc21_ma65assignment_Week12 | noc21_ma65assignment_Week12 |

Sl.No | Chapter Name | MP4 Download |
---|---|---|

1 | Binary Operation and Groups | Download |

2 | Vector Spaces | Download |

3 | Some Example of Vector Spaces | Download |

4 | Some Example of Vector Spaces (contd.) | Download |

5 | Subspace of a Vector Space | Download |

6 | Spanning Set | Download |

7 | Properties of Subspace | Download |

8 | Properties of Subspace (contd.) | Download |

9 | Linearly independent and dependent vectors | Download |

10 | Linearly independent and dependent vectors (contd.) | Download |

11 | Properties of linearly independent and dependent vectors | Download |

12 | Properties of linearly independent and dependent vectors (contd.) | Download |

13 | Basis and Dimension of a Vector Space | Download |

14 | Examples of Basis and standard basis of a vector space | Download |

15 | Linear Functions | Download |

16 | Range space of a matrix and row reduced echelon form | Download |

17 | Row equivalent matrices | Download |

18 | Row equivalent matrices (contd.) | Download |

19 | Null Space of a Matrix | Download |

20 | Four subspaces associated with a given matrix | Download |

21 | Four subspaces associated with a given matrix (contd.) | Download |

22 | Linear Independence of the rows and columns of a matrix | Download |

23 | Application of diagonal dominant matrices | Download |

24 | Application of Zero Null space: Interpolating polynomial and wronskian matrix | Download |

25 | Characterization of basis of a vector space and its subspaces | Download |

26 | Coordinate of a vector with respect to ordered basis | Download |

27 | Examples of different subspaces of a vector space of polynomials having degree less than or equal 3 | Download |

28 | Linear transformation | Download |

29 | Properties of linear transformation | Download |

30 | Determining linear transformation on a vector space by its value on the basis element | Download |

31 | Range space and null space of a linear transformation | Download |

32 | Rank and nuility of a linear transformation | Download |

33 | Rank-nuility theorem | Download |

34 | Application of rank-nuility theorem and inverse of a linear transformation | Download |

35 | Matrix associated with linear transformation | Download |

36 | Matrix representation of a linear transformation relative to ordered bases | Download |

37 | Matrix representation of a linear transformation relative to ordered bases (contd.) | Download |

38 | Linear map associated with a matrix | Download |

39 | Similar matrices and diagonalisation of matrix | Download |

40 | Orthonormal bases of a vector space | Download |

41 | Gram-Schmidt orthogonalisation process | Download |

42 | QR factorisation | Download |

43 | Inner Product Spaces | Download |

44 | Inner product on different real vector spaces and basis of complex vector space | Download |

45 | Inner product on complex vector spaces and Cauchy-Schwarz inequality | Download |

46 | Norm of a vector | Download |

47 | Matrix norm | Download |

48 | Sensitivity analysis of a system of linear equations | Download |

49 | Orthogonality of the four subspaces associated with a Matrix | Download |

50 | Best approximation : Least square method | Download |

51 | Best approximation : Least square method (contd.) | Download |

52 | Jordan-Canonical Form | Download |

53 | Some examples on the Jordan form of a given matrix and generalised eigenvectors | Download |

54 | Singular value decomposition (SVD) theorem | Download |

55 | Matlab / Octave code for solving SVD | Download |

56 | Pseudo-inverse/Moore-Penrose inverse | Download |

57 | Householder transformation | Download |

58 | Matlab/Octave code for Householder transformation | Download |

Sl.No | Chapter Name | English |
---|---|---|

1 | Binary Operation and Groups | Download Verified |

2 | Vector Spaces | Download Verified |

3 | Some Example of Vector Spaces | Download Verified |

4 | Some Example of Vector Spaces (contd.) | Download Verified |

5 | Subspace of a Vector Space | Download Verified |

6 | Spanning Set | Download Verified |

7 | Properties of Subspace | Download Verified |

8 | Properties of Subspace (contd.) | Download Verified |

9 | Linearly independent and dependent vectors | Download Verified |

10 | Linearly independent and dependent vectors (contd.) | Download Verified |

11 | Properties of linearly independent and dependent vectors | Download Verified |

12 | Properties of linearly independent and dependent vectors (contd.) | Download Verified |

13 | Basis and Dimension of a Vector Space | Download Verified |

14 | Examples of Basis and standard basis of a vector space | Download Verified |

15 | Linear Functions | Download Verified |

16 | Range space of a matrix and row reduced echelon form | Download Verified |

17 | Row equivalent matrices | Download Verified |

18 | Row equivalent matrices (contd.) | Download Verified |

19 | Null Space of a Matrix | Download Verified |

20 | Four subspaces associated with a given matrix | Download Verified |

21 | Four subspaces associated with a given matrix (contd.) | Download Verified |

22 | Linear Independence of the rows and columns of a matrix | Download Verified |

23 | Application of diagonal dominant matrices | Download Verified |

24 | Application of Zero Null space: Interpolating polynomial and wronskian matrix | Download Verified |

25 | Characterization of basis of a vector space and its subspaces | Download Verified |

26 | Coordinate of a vector with respect to ordered basis | Download Verified |

27 | Examples of different subspaces of a vector space of polynomials having degree less than or equal 3 | Download Verified |

28 | Linear transformation | Download Verified |

29 | Properties of linear transformation | Download Verified |

30 | Determining linear transformation on a vector space by its value on the basis element | Download Verified |

31 | Range space and null space of a linear transformation | Download Verified |

32 | Rank and nuility of a linear transformation | Download Verified |

33 | Rank-nuility theorem | Download Verified |

34 | Application of rank-nuility theorem and inverse of a linear transformation | Download Verified |

35 | Matrix associated with linear transformation | Download Verified |

36 | Matrix representation of a linear transformation relative to ordered bases | Download Verified |

37 | Matrix representation of a linear transformation relative to ordered bases (contd.) | Download Verified |

38 | Linear map associated with a matrix | Download Verified |

39 | Similar matrices and diagonalisation of matrix | Download Verified |

40 | Orthonormal bases of a vector space | Download Verified |

41 | Gram-Schmidt orthogonalisation process | Download Verified |

42 | QR factorisation | Download Verified |

43 | Inner Product Spaces | Download Verified |

44 | Inner product on different real vector spaces and basis of complex vector space | Download Verified |

45 | Inner product on complex vector spaces and Cauchy-Schwarz inequality | Download Verified |

46 | Norm of a vector | Download Verified |

47 | Matrix norm | Download Verified |

48 | Sensitivity analysis of a system of linear equations | Download Verified |

49 | Orthogonality of the four subspaces associated with a Matrix | Download Verified |

50 | Best approximation : Least square method | Download Verified |

51 | Best approximation : Least square method (contd.) | PDF unavailable |

52 | Jordan-Canonical Form | PDF unavailable |

53 | Some examples on the Jordan form of a given matrix and generalised eigenvectors | Download Verified |

54 | Singular value decomposition (SVD) theorem | Download Verified |

55 | Matlab / Octave code for solving SVD | PDF unavailable |

56 | Pseudo-inverse/Moore-Penrose inverse | PDF unavailable |

57 | Householder transformation | Download Verified |

58 | Matlab/Octave code for Householder transformation | Download Verified |

Sl.No | Language | Book link |
---|---|---|

1 | English | Not Available |

2 | Bengali | Not Available |

3 | Gujarati | Not Available |

4 | Hindi | Not Available |

5 | Kannada | Not Available |

6 | Malayalam | Not Available |

7 | Marathi | Not Available |

8 | Tamil | Not Available |

9 | Telugu | Not Available |