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
16Range space of a matrix and row reduced echelon formDownload
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
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
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
34Application of rank-nuility theorem and inverse of a linear transformationDownload
36Matrix representation of a linear transformation relative to ordered basesDownload
37Matrix representation of a linear transformation relative to ordered bases (contd.)Download
44Inner product on different real vector spaces and basis of complex vector spaceDownload
45Inner product on complex vector spaces and Cauchy-Schwarz inequalityDownload
48Sensitivity analysis of a system of linear equationsDownload
49Orthogonality of the four subspaces associated with a MatrixDownload
51Best approximation : Least square method (contd.)Download
53Some examples on the Jordan form of a given matrix and generalised eigenvectorsDownload
55Matlab / Octave code for solving SVDDownload

Sl.No Chapter Name English
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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
Verified
16Range space of a matrix and row reduced echelon formDownload
Verified
Verified
Verified
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20Four subspaces associated with a given matrixDownload
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21Four subspaces associated with a given matrix (contd.)Download
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22Linear Independence of the rows and columns of a matrixDownload
Verified
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
Verified
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
Verified
34Application of rank-nuility theorem and inverse of a linear transformationDownload
Verified
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
Verified
Verified
Verified
Verified
Verified
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
Verified
Verified
48Sensitivity analysis of a system of linear equationsDownload
Verified
49Orthogonality of the four subspaces associated with a MatrixDownload
Verified
Verified
51Best approximation : Least square method (contd.)Download
Verified
Verified
53Some examples on the Jordan form of a given matrix and generalised eigenvectorsDownload
Verified
Verified
55Matlab / Octave code for solving SVDDownload
Verified
Verified
Verified