Types of Matrices

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Topics

  • Complex Numbers Old
  • Expansion of Sinn θ,Cosn θ in Terms of Sines and Cosines Of Multiples Of θ And Expansion of Sinnθ, Cosnθ In Powers of Sinθ, Cosθ
  • Separation of Real and Imaginary Parts of All Types of Functions
  • Circular Functions of Complex Number and Hyperbolic Functions.Inverse Circular and Inverse Hyperbolic Functions. Logarithmic Functions.
  • Powers and Roots of Exponential and Trigonometric Functions
  • Matrices and Numerical Methods Old
  • Solution of System Of Linear Algebraic Equations
  • Types of Matrices and Rank of a Matrix
  • Differential Calculus Old
  • Euler’S Theorem on Homogeneous Functions with Two and Three Independent Variables (With Proof)
  • Partial Differentiation
  • Successive Differentiation
  • Application of Partial Differentiation, Expansion of Functions , Indeterminate Forms and Curve Fitting Old
  • Fitting of Curves by Least Square Method for Linear, Parabolic, And Exponential
  • Maxima and Minima of a Function of Two Independent Variables
  • Taylor’S Theorem and Taylor’S Series, Maclaurin’S Series
  • Complex Numbers
    • Review of Complex Numbers‐Algebra of Complex Number
    • Different Representations of a Complex Number and Other Definitions
    • D’Moivre’S Theorem
    • Powers and Roots of Exponential Function
    • Powers and Roots of Trigonometric Functions
    • Expansion of sinn θ, cosn θ in terms of sines and cosines of multiples of θ
    • Expansion of sinnθ, cosnθ in powers of sinθ, cosθ
    • .Circular Functions of Complex Number
    • Hyperbolic functions of complex number
    • Inverse Circular Functions
    • Inverse Hyperbolic Functions
    • Separation of Real and Imaginary Parts of All Types of Functions
  • Logarithm of Complex Numbers , Successive Differentiation
  • Successive Differentiation
    • Successive Differentiation
    • nth Derivative of Standard Functions
    • Leibnitz’S Theorem (Without Proof) and Problems
  • Logarithm of Complex Numbers
    • Logarithmic Functions
    • Separation of Real and Imaginary Parts of Logarithmic Functions
  • Matrices
    • Inverse of a Matrix
    • Addition of a Matrix
    • Multiplication of a Matrix
    • Transpose of a Matrix
    • Types of Matrices
    • Rank of a Matrix Using Echelon Forms
    • Reduction to Normal Form
    • PAQ in normal form
    • System of Homogeneous and Non – Homogeneous Equations
    • consistency and solutions of homogeneous and non – homogeneous equations
    • Linear Dependent and Independent Vectors
    • Application of Inverse of a Matrix to Coding Theory
  • Partial Differentiation
    • Partial Derivatives of First and Higher Order
    • Total Differentials
    • Differentiation of Composite Functions
    • Differentiation of Implicit Functions
    • Euler’s Theorem on Homogeneous functions with two and three independent variables (with proof)
    • Deductions from Euler’S Theorem
  • Applications of Partial Differentiation , Expansion of Functions
    • Maxima and Minima of a Function of Two Independent Variables
    • Jacobian
    • Taylor’S Theorem (Statement Only)
    • Taylor’S Series Method
    • Maclaurin’s series (Statement only)
    • Expansion of 𝑒^𝑥 , sin(x), cos(x), tan(x), sinh(x), cosh(x), tanh(x), log(1+x), 𝑠𝑖𝑛−1 (𝑥),𝑐𝑜𝑠−1 (𝑥),𝑡𝑎𝑛−1 (𝑥)
    • Binomial Series
  • Indeterminate Forms, Numerical Solutions of Transcendental Equations and System of Linear Equations
    • Indeterminate Forms
    • L‐ Hospital Rule
    • Problems Involving Series
    • Solution of Transcendental Equations
    • Solution by Newton Raphson Method
    • Regula – Falsi Equation
    • Solution of System of Linear Algebraic Equations by Gauss Elimination Method
    • Gauss Jacobi Iteration Method
    • Gauss Seidal Iteration Method
  • Row Matrix
  • Column Matrix
  • Zero or Null matrix
  • Square Matrix
  • Diagonal Matrix
  • Scalar Matrix
  • Unit or Identity Matrix
  • Upper Triangular Matrix
  • Lower Triangular Matrix
  • Triangular Matrix
  • Symmetric Matrix
  • Skew-Symmetric Matrix
  • Determinant of a Matrix
  • Singular Matrix
  • Transpose of a Matrix
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Shaalaa.com | Matrices class 12 part 6 (Row and column Matrices)

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Matrices class 12 part 6 (Row and column Matrices) [00:04:07]
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