Introduction to Quantitative Methods
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Pages : 395;
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<< Chapter 4
Matrices : Chapter 5
SUMMARY:
Matrix is a set of 'm × n' numbers arranged in the form of rectangular array having 'm' rows and 'n' columns. It is called an m x n matrix. Matrices play an important role in modern techniques of quantitative analysis of managerial decisions. Matrices provide a compact way of representing a system of equations.
This chapter discussed about determinants, adjoint and inverse of a matrix. To the end of the chapter we have discussed how managers can use matrix methods like Cramer's Rule, matrix inversion method and Gauss - Jordan elimination method to solve linear equations related to various managerial problems. Thus, matrices play a vital role in a manager's decision making process.
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Matrices - An Overview
Definition of Matrix
Types of Matrices
Row Matrix
Column Matrix
Zero or Null Matrix
Square Matrix
Diagonal Matrix
Upper Triangular Matrix
Lower Triangular Matrix
Scalar Matrix
Unit Matrix or Identity Matrix
Singular and Non-Singular Matrices
Operations on Matrices
Addition of Matrices
Multiplication of a Matrix by a Scalar
Multiplication of Matrices
Determinant of a Matrix
Properties of Determinants
Adjoint of a Matrix
Inverse of a Matrix
Rank of a Matrix
Application of Matrix Methods to Solve Linear Equations
Presenting Linear Equations in Matrix Notation
Cramer's Rule
Cramer's Rule: (Three unknowns or 3×3 matrix)
Gauss - Jordan Elimination Method
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