Weak 4: Matrices Introduction to Matrices, Types, Matrix inverse, determinants, system of linear equations, Cramer's rule.

Introduction:


Matrices and Determinants:


In 1985 Arthur Cayley presented the system of matrices called Theory of matrices. It was the latest way to solve the system of linear equation. It is undoubtedly the most powerful tool in mathematics. It is being used in various science as well as a business field like budgeting, cost estimation, sales projection, etc. Matrices are also used in cryptography.

Objectives:


  1. Matrices and its Types
  2. Matrices and Systems of Linear Equations
  3. The Algebra of Matrices
  4. Inverses of Matrices and Matrix Equations
  5. Determinants and Cramer’s Rule