Matrices and Determinants

COURSE DESCRIPTION

• Matrix
  • Order of a matrix
  • Equal matrices
  • Exercise 1.1
• Types of matrices
  • Row matrix
  • Column matrix
  • Rectangular matrix
  • Square matrix
  • Null or zero matrix
  • Transpose of a matrix
  • Negative of a matrix
  • Symmetric of a matrix
  • Skew-symmetric of a matrix
  • Diagonal matrix
  • Scalar matrix
  • Identity matrix
  • Exercise 1.2
• Addition and subtraction of matrices
  • Addition of matrix
  • Subtraction of matrix
  • Multiplication of a matrix with a real number
  • Commutative and associative laws of addition of matrices
  • Additive identity of a matrix
  • Additive inverse of a matrix
  • Exercise 1.3
• Multiplication of a matrices
  • Associative law under multiplication
  • Distributive laws of multiplication over addition and subtraction
  • Commutative law of multiplication of matrices
  • Multiplicative identity of a matrix
  • Exercise 1.4

• Multiplicative inverse of a matrix
  • Determinant of 2 by 2 matrix
  • Singular and non-singular matrix
  • Adjoint of a matrix
  • Multiplicative inverse of a non-singular matrix
  • Inverse of a matrix using adjoint
  • Exercise 1.5
• Solution of simultaneous linear equations
  • Matrix inversion method
  • Crammer rule
  • Exercise 1.6
• Review Exercise 1
• Conceptual overview of all the above topics
• Application and conceptual base quiz of students which consist of short questions, MCQS and Long questions.

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