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    3. Matrices Vector & Differential Equations

    Matrices Vector & Differential Equations

    Posted By: Free butterfly
    Date: 4 Oct 2021 18:10:43
    Matrices Vector & Differential Equations

    Matrices Vector & Differential Equations by A R Vasishtha
    English | 2021 | ISBN: N/A | ASIN: B08ZKYN4KM | 353 pages | PDF | 3.09 Mb

    SYLLABUS- MATRICES VECTOR & DIFFERENTIAL EQUATIONS, Unit-I: Type of Matrices, Elementary operation on matrices, Inverse of a matrix by
    elementary operations, rank of a matrix, Echelon and normal form, Eigen values,
    eigenvectors and characteristic equation of a matrix, Cayley-Hamilton theorem and
    its use in finding inverse of a matrix, system of linear homogeneous and non
    homogeneous equations, theorems on consistency of a system of linear equations.
    Unit-II: Vector Differentiation, Gradient, Divergence and Curl, Vector Integration,
    Theorems of Gauss, Green, Stokes and related problems.
    Unit-III: Formation of a differential equation, geometrical meaning of a differential
    equation, Equation of first order and first degree, Equations in which the variables
    are separable, Homogeneous equation, Linear equations Exact differential
    equations and equations reducible to the exact form, First order higher degree
    equations solvable for x, y, p.
    Unit-IV: Clairaut's equation and singular solutions, orthogonal trajectories, linear
    differential equation with constant coefficients, homogeneous linear differential
    equations.

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