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Linear Algebra - MTH501 - VU Video Lectures
1867 Views
What is Algebra?, What is Linear Algebra?, Applications, Use of linear algebra.
1227 Views
Introduction to matrices, Addition, subtraction and multiplication of matrices.
1075 Views
System of linear equations, Example of linear equations, Homogenous linear equations, Linear system.
1198 Views
Row reduction and Echelon form, Pivot, Row reduction algorithm.
968 Views
Vector equations, Algebra of vector, Algebric propeoties, Linear combination, Vector and Parametric equation of line.
1048 Views
Solution set of linear system,Homogenous linear systems, Trivial solution, Non trivial solution.
973 Views
Matrix algebra, Matrix oprations, Diagonal matrix, Zero matrices, Mateix multiplication, Properties of matrix multiplication,Power and Transport of matrix.
1197 Views
Matrix algebra, Inverse of matrix, Inverse of transport and Product, Inverse operations.
1002 Views
Charecterizations of invertibe matrices, Invertibe matrix theorem.
988 Views
Partitioned matrices, Addition and Scaler multiplication, Column-row expansion theorem, Inverse of partitioned matrices.
1441 Views
Iterative solution of linear system, Iterative solution, Jacobi's method, Gauss-seidel method, Strictly diagonal dominant.
1048 Views
Linearly independent sets;Bases, Spanning set theorem.
1256 Views
Coordinate system, Graphical interpretation of coordinates.
1037 Views
Dimension of vector space, Bases and Linear combination, Bases theorem.
880 Views
Rank, Row space, Rank theorem, Invertible matrix theorem.
972 Views
Dimension, Chang of basis, Axioms of vector space, Linearly independent, Linearly dependent.
925 Views
Applications to difference equation, Discrete time signal, Linear independence in space of signals, Linear difference equation.
1117 Views
Eigenvalues and Eigenvectors, Fixed point, Unifying thearem.
978 Views
Characteristic equation, Properties of determinates, Application to dynamical system.
875 Views
Eigenvectors and Linear transformations, Matrix of linear transformation.
901 Views
Complex eigen-values, Real and Imaginary parts of vectors, Eigenvalues and Eigenvectors of real vectors.
1519 Views
Application to difference equation, System of difference equation, Superposition of solutions, Fundamental set, Initial value problem, Decoupling a dynamical system.
979 Views
Iterative estimates for eigenvalues, Power method, Inverse Power method, Diagonalization theorem, Eigenvectors and Linear transformations.
839 Views
Characteristic equation, Diagonalization, Eigenvectors and Linear transformations, Complex eigenvalues, Determinant, Minor of matrix, Properties of determinants, Cramer's rule, Volume and Linear transformations.
786 Views
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.
940 Views
Orthogonality and Least square, Inner product,Length and Orthogonality, Unit vector, Pythagoren theorem, Orthogonal complement.
864 Views
Orthogonal sets, Orthogonal projection, Orthonormal sets, Orthonormal basis.
899 Views
Orthogonal projection, Orthogonal decomposition theorem, Best approximation theorem.
832 Views
Gram-schmidt process, Orthonormal bases, Orthogonal decomposition theorem, Best approximation theorem.
813 Views
Orthogonality and Least square, Least square problem, Least square solution.
866 Views
Inner product spaces, Length, Distance and Orthogonality, Cauchy-schwarz inequality, Triangle inquality.
868 Views
Application of inner product spaces, Least square line, Weighted Least-squares.
946 Views
Matrix algebra, Vector spaces, Axioms of vector space, Spanning set theorem, basis theorem, Rank theorem, invertble matrix theorem.
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