| 1 |
Notation for numbers and vectors |
Prof. Jugal Verma , IIT Bombay |
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Monday |
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| 2 |
Matrix Multiplication |
Prof. Jugal Verma , IIT Bombay |
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Monday |
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| 3 |
Notation for numbers and vectors |
Prof. Jugal Verma , IIT Bombay |
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Monday |
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| 4 |
Matrix Multiplication |
Prof. Jugal Verma , IIT Bombay |
|
Monday |
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| 5 |
Notation for numbers and vectors |
Prof. Jugal Verma , IIT Bombay |
|
Monday |
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| 6 |
Matrix Multiplication |
Prof. Jugal Verma , IIT Bombay |
|
Monday |
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| 7 |
Notation for numbers and vectors |
Prof. Jugal Verma , IIT Bombay |
|
Tuesday |
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| 8 |
Matrix Multiplication |
Prof. Jugal Verma , IIT Bombay |
|
Tuesday |
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| 9 |
Notation for numbers and vectors |
Prof. Jugal Verma , IIT Bombay |
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Wednesday |
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| 10 |
Matrix Multiplication |
Prof. Jugal Verma , IIT Bombay |
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Wednesday |
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| 11 |
The Augmented matrix of a system of linear
equations |
Prof. Jugal Verma , IIT Bombay |
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Thursday |
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| 12 |
Examples |
Prof. Jugal Verma , IIT Bombay |
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Thursday |
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| 13 |
The Augmented matrix of a system of linear
equations |
Prof. Jugal Verma , IIT Bombay |
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Friday |
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| 14 |
Examples |
Prof. Jugal Verma , IIT Bombay |
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Friday |
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| 15 |
The Augmented matrix of a system of linear
equations |
Prof. Jugal Verma , IIT Bombay |
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Saturday |
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| 16 |
Examples |
Prof. Jugal Verma , IIT Bombay |
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Saturday |
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| 17 |
Solving linear equations using the REF |
Prof. Jugal Verma , IIT Bombay |
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Monday |
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| 18 |
Elementary matrices |
Prof. Jugal Verma , IIT Bombay |
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Monday |
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| 19 |
Solving linear equations using the REF |
Prof. Jugal Verma , IIT Bombay |
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Tuesday |
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| 20 |
Elementary matrices |
Prof. Jugal Verma , IIT Bombay |
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Tuesday |
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| 21 |
Solving linear equations using the REF |
Prof. Jugal Verma , IIT Bombay |
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Wednesday |
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| 22 |
Elementary matrices |
Prof. Jugal Verma , IIT Bombay |
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Wednesday |
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| 23 |
Finding the inverse of an invertible matrices |
Prof. Jugal Verma , IIT Bombay |
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Thursday |
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| 24 |
Axioms for a determinant function |
Prof. Jugal Verma , IIT Bombay |
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Thursday |
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| 25 |
Finding the inverse of an invertible matrices |
Prof. Jugal Verma , IIT Bombay |
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Friday |
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| 26 |
Axioms for a determinant function |
Prof. Jugal Verma , IIT Bombay |
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Friday |
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| 27 |
Finding the inverse of an invertible matrices |
Prof. Jugal Verma , IIT Bombay |
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Saturday |
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| 28 |
Axioms for a determinant function |
Prof. Jugal Verma , IIT Bombay |
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Saturday |
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| 29 |
Existence of determinant function |
Prof. Jugal Verma , IIT Bombay |
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Monday |
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| 30 |
Determinant of transpose of a matrix |
Prof. Jugal Verma , IIT Bombay |
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Monday |
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| 31 |
Existence of determinant function |
Prof. Jugal Verma , IIT Bombay |
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Tuesday |
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| 32 |
Determinant of transpose of a matrix |
Prof. Jugal Verma , IIT Bombay |
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Tuesday |
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| 33 |
Existence of determinant function |
Prof. Jugal Verma , IIT Bombay |
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Wednesday |
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| 34 |
Determinant of transpose of a matrix |
Prof. Jugal Verma , IIT Bombay |
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Wednesday |
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| 35 |
Cramer's Rule |
Prof. Jugal Verma , IIT Bombay |
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Thursday |
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| 36 |
Vector spaces |
Prof. Jugal Verma , IIT Bombay |
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Thursday |
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| 37 |
Cramer's Rule |
Prof. Jugal Verma , IIT Bombay |
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Friday |
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| 38 |
Vector spaces |
Prof. Jugal Verma , IIT Bombay |
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Friday |
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| 39 |
Cramer's Rule |
Prof. Jugal Verma , IIT Bombay |
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Saturday |
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| 40 |
Vector spaces |
Prof. Jugal Verma , IIT Bombay |
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Saturday |
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| 41 |
Subspaces, linearly dependence and independence |
Prof. Jugal K. Verma , IIT Bombay |
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Monday |
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| 42 |
Dimension of a vector space |
Prof. Jugal K. Verma , IIT Bombay |
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Monday |
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| 43 |
Subspaces, linearly dependence and independence |
Prof. Jugal K. Verma , IIT Bombay |
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Tuesday |
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| 44 |
Dimension of a vector space |
Prof. Jugal K. Verma , IIT Bombay |
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Tuesday |
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| 45 |
Subspaces, linearly dependence and independence |
Prof. Jugal K. Verma , IIT Bombay |
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Wednesday |
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| 46 |
Dimension of a vector space |
Prof. Jugal K. Verma , IIT Bombay |
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Wednesday |
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| 47 |
Bases and Dimension |
Prof. Jugal K. Verma , IIT Bombay |
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Thursday |
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| 48 |
Row and Column Spaces of Matrix |
Prof. Jugal K. Verma , IIT Bombay |
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Thursday |
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| 49 |
Bases and Dimension |
Prof. Jugal K. Verma , IIT Bombay |
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Friday |
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| 50 |
Row and Column Spaces of Matrix |
Prof. Jugal K. Verma , IIT Bombay |
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Friday |
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| 51 |
Bases and Dimension |
Prof. Jugal K. Verma , IIT Bombay |
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Saturday |
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| 52 |
Row and Column Spaces of Matrix |
Prof. Jugal K. Verma , IIT Bombay |
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Saturday |
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| 53 |
Linear Transformation: Rank and Nullity |
Prof. Jugal K. Verma , IIT Bombay |
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Monday |
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| 54 |
Linear Transformation: Rank and Nullity |
Prof. Jugal K. Verma , IIT Bombay |
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Tuesday |
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| 55 |
Linear Transformation: Rank and Nullity |
Prof. Jugal K. Verma , IIT Bombay |
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Wednesday |
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| 56 |
Linear Transformation: Rank and Nullity |
Prof. Jugal K. Verma , IIT Bombay |
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Thursday |
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| 57 |
Linear Transformation: Rank and Nullity |
Prof. Jugal K. Verma , IIT Bombay |
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Friday |
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| 58 |
Linear Transformation: Rank and Nullity |
Prof. Jugal K. Verma , IIT Bombay |
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Saturday |
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| 59 |
Inner Product Spaces |
Prof. Jugal K. Verma , IIT Bombay |
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Monday |
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| 60 |
Modeling |
Prof. Hari Shankar , IIT Kharagpur |
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Monday |
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| 61 |
Inner Product Spaces |
Prof. Jugal K. Verma , IIT Bombay |
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Tuesday |
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| 62 |
Modeling |
Prof. Hari Shankar , IIT Kharagpur |
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Tuesday |
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| 63 |
Fourier Series |
Prof. Hari Shankar Mahato , IIT Kharagpur |
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Wednesday |
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| 64 |
Inner Product Spaces |
Prof. Jugal K. Verma , IIT Bombay |
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Wednesday |
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| 65 |
Pythagoras Theorem and Parallelogram Law |
Prof. Jugal K. Verma , IIT Bombay |
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Thursday |
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| 66 |
Fourier Series |
Prof. Hari Shankar Mahato , IIT Kharagpur |
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Thursday |
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| 67 |
Pythagoras Theorem and Parallelogram Law |
Prof. Jugal K. Verma , IIT Bombay |
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Friday |
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| 68 |
Fourier Series |
Prof. Hari Shankar Mahato , IIT Kharagpur |
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Friday |
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| 69 |
Canonical - I |
Prof. Asish Ganguly , IIT Kharagpur |
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Saturday |
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| 70 |
Pythagoras Theorem and Parallelogram Law |
Prof. Jugal K. Verma , IIT Bombay |
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Saturday |
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| 71 |
The Gram-Schmidt orthogonalization |
Prof. Jugal K. Verma , IIT Bombay |
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Monday |
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| 72 |
The Gram-Schmidt orthogonalization |
Prof. Jugal K. Verma , IIT Bombay |
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Tuesday |
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| 73 |
The Gram-Schmidt orthogonalization |
Prof. Jugal K. Verma , IIT Bombay |
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Wednesday |
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| 74 |
Subspace and its orthogonal subspace |
Prof. Jugal K. Verma , IIT Bombay |
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Thursday |
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| 75 |
Subspace and its orthogonal subspace |
Prof. Jugal K. Verma , IIT Bombay |
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Friday |
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| 76 |
Subspace and its orthogonal subspace |
Prof. Jugal K. Verma , IIT Bombay |
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Saturday |
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| 77 |
The QR decomposition of a matrix |
Prof. Jugal K. Verma , IIT Bombay |
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Monday |
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| 78 |
The QR decomposition of a matrix |
Prof. Jugal K. Verma , IIT Bombay |
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Tuesday |
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| 79 |
The QR decomposition of a matrix |
Prof. Jugal K. Verma , IIT Bombay |
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Wednesday |
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| 80 |
Eigen values and Eigenvectors of matrices and
Linear Transformations |
Prof. Jugal K. Verma , IIT Bombay |
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Thursday |
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| 81 |
Eigen values and Eigenvectors of matrices and
Linear Transformations |
Prof. Jugal K. Verma , IIT Bombay |
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Friday |
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| 82 |
Eigen values and Eigenvectors of matrices and
Linear Transformations |
Prof. Jugal K. Verma , IIT Bombay |
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Saturday |
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| 83 |
Eigen values and Eigenvectors of linear operators |
Prof. Jugal K. Verma , IIT Bombay |
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Monday |
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| 84 |
Eigen values and Eigenvectors of linear operators |
Prof. Jugal K. Verma , IIT Bombay |
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Tuesday |
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| 85 |
Eigen values and Eigenvectors of linear operators |
Prof. Jugal K. Verma , IIT Bombay |
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Wednesday |
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| 86 |
Algebric and Geometric multiplicity of eigenvalues |
Prof. Jugal K. Verma , IIT Bombay |
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Thursday |
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| 87 |
A criterion for diagonazability |
Prof. Jugal K. Verma , IIT Bombay |
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Thursday |
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| 88 |
Algebric and Geometric multiplicity of eigenvalues |
Prof. Jugal K. Verma , IIT Bombay |
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Friday |
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| 89 |
A criterion for diagonazability |
Prof. Jugal K. Verma , IIT Bombay |
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Friday |
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| 90 |
Algebric and Geometric multiplicity of eigenvalues |
Prof. Jugal K. Verma , IIT Bombay |
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Saturday |
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| 91 |
A criterion for diagonazability |
Prof. Jugal K. Verma , IIT Bombay |
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Saturday |
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| 92 |
Normal and Symmetric matrices |
Prof. Jugal K. Verma , IIT Bombay |
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Monday |
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| 93 |
Characterization of self-adjoint operators |
Prof. Jugal K. Verma , IIT Bombay |
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Monday |
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| 94 |
Normal and Symmetric matrices |
Prof. Jugal K. Verma , IIT Bombay |
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Tuesday |
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| 95 |
Characterization of self-adjoint operators |
Prof. Jugal K. Verma , IIT Bombay |
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Tuesday |
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| 96 |
Normal and Symmetric matrices |
Prof. Jugal K. Verma , IIT Bombay |
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Wednesday |
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| 97 |
Characterization of self-adjoint operators |
Prof. Jugal K. Verma , IIT Bombay |
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Wednesday |
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| 98 |
Spectral Theorem for self-adjoint operators |
Prof. Jugal K. Verma , IIT Bombay |
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Thursday |
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| 99 |
Diagonalization of normal matrices |
Prof. Jugal K. Verma , IIT Bombay |
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Thursday |
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| 100 |
Spectral Theorem for self-adjoint operators |
Prof. Jugal K. Verma , IIT Bombay |
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Friday |
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| 101 |
Diagonalization of normal matrices |
Prof. Jugal K. Verma , IIT Bombay |
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Friday |
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| 102 |
Spectral Theorem for self-adjoint operators |
Prof. Jugal K. Verma , IIT Bombay |
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Saturday |
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| 103 |
Diagonalization of normal matrices |
Prof. Jugal K. Verma , IIT Bombay |
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Saturday |
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| 104 |
A Hyperbola |
Prof. Jugal K. Verma , IIT Bombay |
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Monday |
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| 105 |
A Parabola |
Prof. Jugal K. Verma , IIT Bombay |
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Monday |
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| 106 |
A Hyperbola |
Prof. Jugal K. Verma , IIT Bombay |
|
Tuesday |
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| 107 |
A Parabola |
Prof. Jugal K. Verma , IIT Bombay |
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Tuesday |
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| 108 |
A Hyperbola |
Prof. Jugal K. Verma , IIT Bombay |
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Wednesday |
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| 109 |
A Parabola |
Prof. Jugal K. Verma , IIT Bombay |
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Wednesday |
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| 110 |
Spectral Theorem for self-adjoint operators |
Prof. Jugal K. Verma , IIT Bombay |
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Thursday |
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| 111 |
Diagonalization of normal matrices |
Prof. Jugal K. Verma , IIT Bombay |
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Thursday |
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| 112 |
Spectral Theorem for self-adjoint operators |
Prof. Jugal K. Verma , IIT Bombay |
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Friday |
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| 113 |
Diagonalization of normal matrices |
Prof. Jugal K. Verma , IIT Bombay |
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Friday |
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| 114 |
Spectral Theorem for self-adjoint operators |
Prof. Jugal K. Verma , IIT Bombay |
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Saturday |
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| 115 |
Diagonalization of normal matrices |
Prof. Jugal K. Verma , IIT Bombay |
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Saturday |
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