'Vector Spaces, Subspaces, Linearly Dependent/Independent of Vectors' Video Lecture

Vector Spaces, Subspaces, Linearly Dependent/Independent of Vectors

  • Course: Advanced Engineering Mathematics
  • Discipline: Mathematics
  • Faculty: Dr. P. Panigrahi, Prof. J. Kumar, Prof. P.D. Srivastava, Prof. Somesh Kumar
  • Institute: IIT Kharagpur

    • NEXT LECTURE >> Basis, Dimension, Rank and Matrix Inverse
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    Course Video Lectures Review Groups, Fields and Matrices Vector Spaces, Subspaces, Linearly Dependent/.. Basis, Dimension, Rank and Matrix Inverse Linear Transformation, Isomorphism and Matrix.. System of Linear Equations, Eigenvalues and E.. Method to Find Eigenvalues and Eigenvectors, .. Jordan Canonical Form, Cayley Hamilton Theore.. Inner Product Spaces, Cauchy-Schwarz Inequali.. Orthogonality, Gram-Schmidt Orthogonalization.. Spectrum of special matrices,positive/negativ.. Concept of Domain, Limit, Continuity and Diff.. Analytic Functions, C-R Equations Harmonic Functions Line Integral in the Complex Cauchy Integral Theorem Cauchy Integral Theorem (Contd.) Cauchy Integral Formula Power and Taylor's Series of Complex Numbers Power and Taylor's Series of Complex Numbers .. Taylor's, Laurent Series of f(z) and Singular.. Classification of Singularities, Residue and .. Laplace Transform and its Existence Properties of Laplace Transform Evaluation of Laplace and Inverse Laplace Tra.. Applications of Laplace Transform to Integral.. Applications of Laplace Transform to PDEs Fourier Series Fourier Series (Contd.) Fourier Integral Representation of a Function Introduction to Fourier Transform Applications of Fourier Transform to PDEs Laws of Probability - I Laws of Probability - II Problems in Probability Random Variables Special Discrete Distributions Special Continuous Distributions Joint Distributions and Sampling Distribution.. Point Estimation Interval Estimation Basic Concepts of Testing of Hypothesis Tests for Normal Populations
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