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Singular value decomposition(SVD)
56:20
Singular value decomposition(SVD)
Nature of quadratic forms
26:05
Nature of quadratic forms
Reduction of quadratic form to canonical form by orthogonal transformation
39:46
Reduction of quadratic form to canonical form by orthogonal transformation
Quadratic forms and positive definite matrices
50:59
Quadratic forms and positive definite matrices
Jordan Canonical Form
40:56
Jordan Canonical Form
Diagonalization of a matrix
48:38
Diagonalization of a matrix
Cayley-Hamilton theorem and its applications
42:54
Cayley-Hamilton theorem and its applications
Eigen values of special matrices
43:01
Eigen values of special matrices
Properties of eigen values
45:41
Properties of eigen values
Eigen values and eigen vectors
41:03
Eigen values and eigen vectors
QR factorization of a matrix
48:16
QR factorization of a matrix
Gram-Schmidt process
51:41
Gram-Schmidt process
Orthonormal set of vectors
48:46
Orthonormal set of vectors
Projection onto a Subspace
43:35
Projection onto a Subspace
Least square fitting of data
32:11
Least square fitting of data
Least squares approximations
24:26
Least squares approximations
Projection on a Vector
32:23
Projection on a Vector
Orthogonality
41:28
Orthogonality
Norm of a Vector and Angle between two Vectors
41:23
Norm of a Vector and Angle between two Vectors
Inner Product on a Vector Space
46:35
Inner Product on a Vector Space
Four Fundamental Subspaces of a Matrix
51:43
Four Fundamental Subspaces of a Matrix
Solving System of Non-Homogeneous Linear Equations
44:47
Solving System of Non-Homogeneous Linear Equations
Solving System of Homogeneous Linear Equations
39:51
Solving System of Homogeneous Linear Equations
Rank of a Matrix
29:58
Rank of a Matrix
Row Reduced Echelon Form
29:23
Row Reduced Echelon Form
Elementary and Permutation Matrices
32:16
Elementary and Permutation Matrices
Inverse of a matrix
16:55
Inverse of a matrix
Complex matrices
45:11
Complex matrices
Four ways of multiplying matrices
32:29
Four ways of multiplying matrices
Algebra of Matrices
29:03
Algebra of Matrices
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