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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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703 Views
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Introduction to matrices, Addition, subtraction and multiplication of matrices.
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644 Views
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System of linear equations, Example of linear equations, Homogenous linear equations, Linear system.
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725 Views
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Row reduction and Echelon form, Pivot, Row reduction algorithm.
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548 Views
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Vector equations, Algebra of vector, Algebric propeoties, Linear combination, Vector and Parametric equation of line.
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536 Views
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Matrix equation.
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554 Views
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Solution set of linear system,Homogenous linear systems, Trivial solution, Non trivial solution.
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546 Views
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Linear independence.
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509 Views
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Linear transformations, Transformation.
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557 Views
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The matrix of a linar transformations.
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549 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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571 Views
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Matrix algebra, Inverse of matrix, Inverse of transport and Product, Inverse operations.
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504 Views
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Charecterizations of invertibe matrices, Invertibe matrix theorem.
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503 Views
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Partitioned matrices, Addition and Scaler multiplication, Column-row expansion theorem, Inverse of partitioned matrices.
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492 Views
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Matrix factorizations, Matrix inversion.
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521 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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477 Views
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Determinates, Minor of matrix.
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495 Views
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Properties of determinants.
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559 Views
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Cramer's rule, Cramer's rule theorem.
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577 Views
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Vector spaces, Subspaces, Axioms of vector space.
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507 Views
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Null and Column spaces, Linear transformations.
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525 Views
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Linearly independent sets;Bases, Spanning set theorem.
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597 Views
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Coordinate system, Graphical interpretation of coordinates.
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513 Views
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Dimension of vector space, Bases and Linear combination, Bases theorem.
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442 Views
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Rank, Row space, Rank theorem, Invertible matrix theorem.
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499 Views
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Dimension, Chang of basis, Axioms of vector space, Linearly independent, Linearly dependent.
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518 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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594 Views
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Eigenvalues and Eigenvectors, Fixed point, Unifying thearem.
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504 Views
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Characteristic equation, Properties of determinates, Application to dynamical system.
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452 Views
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Diagonalization.
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457 Views
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Eigenvectors and Linear transformations, Matrix of linear transformation.
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425 Views
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Complex eigen-values, Real and Imaginary parts of vectors, Eigenvalues and Eigenvectors of real vectors.
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421 Views
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Discrete dynamical systems, Change of variable.
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515 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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510 Views
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Iterative estimates for eigenvalues, Power method, Inverse Power method, Diagonalization theorem, Eigenvectors and Linear transformations.
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428 Views
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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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401 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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509 Views
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Orthogonality and Least square, Inner product,Length and Orthogonality, Unit vector, Pythagoren theorem, Orthogonal complement.
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470 Views
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Orthogonal sets, Orthogonal projection, Orthonormal sets, Orthonormal basis.
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480 Views
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Orthogonal projection, Orthogonal decomposition theorem, Best approximation theorem.
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422 Views
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Gram-schmidt process, Orthonormal bases, Orthogonal decomposition theorem, Best approximation theorem.
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401 Views
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Orthogonality and Least square, Least square problem, Least square solution.
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462 Views
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Inner product spaces, Length, Distance and Orthogonality, Cauchy-schwarz inequality, Triangle inquality.
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482 Views
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Application of inner product spaces, Least square line, Weighted Least-squares.
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460 Views
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Matrix algebra, Vector spaces, Axioms of vector space, Spanning set theorem, basis theorem, Rank theorem, invertble matrix theorem.