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Linear Algebra - MTH501 - VU Video Lectures

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1883 Views
Rated 3
What is Algebra?, What is Linear Algebra?, Applications, Use of linear algebra.
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1244 Views
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Introduction to matrices, Addition, subtraction and multiplication of matrices.
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1095 Views
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System of linear equations, Example of linear equations, Homogenous linear equations, Linear system.
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1211 Views
Rated 3
Row reduction and Echelon form, Pivot, Row reduction algorithm.
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1011 Views
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Vector equations, Algebra of vector, Algebric propeoties, Linear combination, Vector and Parametric equation of line.
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956 Views
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Matrix equation.
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1067 Views
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Solution set of linear system,Homogenous linear systems, Trivial solution, Non trivial solution.
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977 Views
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Linear independence.
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945 Views
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Linear transformations, Transformation.
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1033 Views
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The matrix of a linar transformations.
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990 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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1249 Views
Rated 3
Matrix algebra, Inverse of matrix, Inverse of transport and Product, Inverse operations.
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1017 Views
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Charecterizations of invertibe matrices, Invertibe matrix theorem.
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1006 Views
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Partitioned matrices, Addition and Scaler multiplication, Column-row expansion theorem, Inverse of partitioned matrices.
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999 Views
Rated 3
Matrix factorizations, Matrix inversion.
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1583 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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931 Views
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Determinates, Minor of matrix.
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918 Views
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Properties of determinants.
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977 Views
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Cramer's rule, Cramer's rule theorem.
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1037 Views
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Vector spaces, Subspaces, Axioms of vector space.
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945 Views
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Null and Column spaces, Linear transformations.
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1065 Views
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Linearly independent sets;Bases, Spanning set theorem.
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1282 Views
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Coordinate system, Graphical interpretation of coordinates.
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1056 Views
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Dimension of vector space, Bases and Linear combination, Bases theorem.
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895 Views
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Rank, Row space, Rank theorem, Invertible matrix theorem.
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987 Views
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Dimension, Chang of basis, Axioms of vector space, Linearly independent, Linearly dependent.
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989 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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1177 Views
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Eigenvalues and Eigenvectors, Fixed point, Unifying thearem.
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1035 Views
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Characteristic equation, Properties of determinates, Application to dynamical system.
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879 Views
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Diagonalization.
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890 Views
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Eigenvectors and Linear transformations, Matrix of linear transformation.
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938 Views
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Complex eigen-values, Real and Imaginary parts of vectors, Eigenvalues and Eigenvectors of real vectors.
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848 Views
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Discrete dynamical systems, Change of variable.
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1608 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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1017 Views
Rated 3
Iterative estimates for eigenvalues, Power method, Inverse Power method, Diagonalization theorem, Eigenvectors and Linear transformations.
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856 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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803 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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956 Views
Rated 2
Orthogonality and Least square, Inner product,Length and Orthogonality, Unit vector, Pythagoren theorem, Orthogonal complement.
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879 Views
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Orthogonal sets, Orthogonal projection, Orthonormal sets, Orthonormal basis.
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915 Views
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Orthogonal projection, Orthogonal decomposition theorem, Best approximation theorem.
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853 Views
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Gram-schmidt process, Orthonormal bases, Orthogonal decomposition theorem, Best approximation theorem.
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827 Views
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Orthogonality and Least square, Least square problem, Least square solution.
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881 Views
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Inner product spaces, Length, Distance and Orthogonality, Cauchy-schwarz inequality, Triangle inquality.
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882 Views
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Application of inner product spaces, Least square line, Weighted Least-squares.
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964 Views
Rated 2
Matrix algebra, Vector spaces, Axioms of vector space, Spanning set theorem, basis theorem, Rank theorem, invertble matrix theorem.