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Linear Algebra - MTH501 - VU Video Lectures

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What is Algebra?, What is Linear Algebra?, Applications, Use of linear algebra.
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1067 Views
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Introduction to matrices, Addition, subtraction and multiplication of matrices.
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956 Views
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System of linear equations, Example of linear equations, Homogenous linear equations, Linear system.
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1082 Views
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Row reduction and Echelon form, Pivot, Row reduction algorithm.
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839 Views
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Vector equations, Algebra of vector, Algebric propeoties, Linear combination, Vector and Parametric equation of line.
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821 Views
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Matrix equation.
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914 Views
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Solution set of linear system,Homogenous linear systems, Trivial solution, Non trivial solution.
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844 Views
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Linear independence.
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776 Views
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Linear transformations, Transformation.
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893 Views
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The matrix of a linar transformations.
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850 Views
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Matrix algebra, Matrix oprations, Diagonal matrix, Zero matrices, Mateix multiplication, Properties of matrix multiplication,Power and Transport of matrix.
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914 Views
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Matrix algebra, Inverse of matrix, Inverse of transport and Product, Inverse operations.
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858 Views
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Charecterizations of invertibe matrices, Invertibe matrix theorem.
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865 Views
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Partitioned matrices, Addition and Scaler multiplication, Column-row expansion theorem, Inverse of partitioned matrices.
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861 Views
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Matrix factorizations, Matrix inversion.
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887 Views
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Iterative solution of linear system, Iterative solution, Jacobi's method, Gauss-seidel method, Strictly diagonal dominant.
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794 Views
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Determinates, Minor of matrix.
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770 Views
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Properties of determinants.
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832 Views
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Cramer's rule, Cramer's rule theorem.
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866 Views
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Vector spaces, Subspaces, Axioms of vector space.
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795 Views
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Null and Column spaces, Linear transformations.
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926 Views
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Linearly independent sets;Bases, Spanning set theorem.
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1073 Views
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Coordinate system, Graphical interpretation of coordinates.
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892 Views
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Dimension of vector space, Bases and Linear combination, Bases theorem.
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728 Views
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Rank, Row space, Rank theorem, Invertible matrix theorem.
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812 Views
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Dimension, Chang of basis, Axioms of vector space, Linearly independent, Linearly dependent.
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803 Views
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Applications to difference equation, Discrete time signal, Linear independence in space of signals, Linear difference equation.
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970 Views
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Eigenvalues and Eigenvectors, Fixed point, Unifying thearem.
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838 Views
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Characteristic equation, Properties of determinates, Application to dynamical system.
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746 Views
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Diagonalization.
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756 Views
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Eigenvectors and Linear transformations, Matrix of linear transformation.
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756 Views
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Complex eigen-values, Real and Imaginary parts of vectors, Eigenvalues and Eigenvectors of real vectors.
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700 Views
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Discrete dynamical systems, Change of variable.
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906 Views
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Application to difference equation, System of difference equation, Superposition of solutions, Fundamental set, Initial value problem, Decoupling a dynamical system.
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834 Views
Rated 3
Iterative estimates for eigenvalues, Power method, Inverse Power method, Diagonalization theorem, Eigenvectors and Linear transformations.
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717 Views
Rated 3
Characteristic equation, Diagonalization, Eigenvectors and Linear transformations, Complex eigenvalues, Determinant, Minor of matrix, Properties of determinants, Cramer's rule, Volume and Linear transformations.
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670 Views
Rated 3
System of linear equations, Example of linear equations, Homogenous linear equations, Linear system, Row reduction and echelon form, Row reduction algorithm, Vector equations, Matrix equation, Trivial solution, Non trivial solution, Linear independence, Linear transformations.
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814 Views
Rated 2
Orthogonality and Least square, Inner product,Length and Orthogonality, Unit vector, Pythagoren theorem, Orthogonal complement.
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740 Views
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Orthogonal sets, Orthogonal projection, Orthonormal sets, Orthonormal basis.
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773 Views
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Orthogonal projection, Orthogonal decomposition theorem, Best approximation theorem.
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676 Views
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Gram-schmidt process, Orthonormal bases, Orthogonal decomposition theorem, Best approximation theorem.
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688 Views
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Orthogonality and Least square, Least square problem, Least square solution.
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746 Views
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Inner product spaces, Length, Distance and Orthogonality, Cauchy-schwarz inequality, Triangle inquality.
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747 Views
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Application of inner product spaces, Least square line, Weighted Least-squares.
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743 Views
Rated 2
Matrix algebra, Vector spaces, Axioms of vector space, Spanning set theorem, basis theorem, Rank theorem, invertble matrix theorem.