The Lemmas of Linear Combination: Topics in Linear Algebra

Introduction To The Lemmas of Linear Combination The present endeavor of this series on linear algebra centers around the essential computations associated with linear systems. This common thread unifies all topics pertaining to this subject. Our first article began elaborating on the primary methodology of deriving the solution for a linear system, the Gaussian method.Continue reading “The Lemmas of Linear Combination: Topics in Linear Algebra”

A Guide to Gaussian Jordan Reduction: Topics in Linear Algebra

Introduction to Gaussian Jordan Reduction This series regarding linear algebra has focused primarily on subject matters relating to facilitating understanding of linear systems. In our first article of this series, we elaborated in great depth on explicating the Gaussian method as it exists as a technique for solving linear systems. This article was immediately followedContinue reading “A Guide to Gaussian Jordan Reduction: Topics in Linear Algebra”

How to Describe the Solutions of Linear Systems: Linear Algebra

What is a Solution Set? When it comes to operations on linear systems, the purpose of our efforts are often motivated by a need to solve the system. For this to be true, we must identify a solution. The solutions of a linear systems denote the values which when substituted into the equation, returns aContinue reading “How to Describe the Solutions of Linear Systems: Linear Algebra”

Gaussian Method of Solving Linear Systems: Linear Algebra

Introducing the Gaussian Method and Linear Algebra Linear algebra is a subject devoted to understanding complex equations that interact together to form systems. The Gaussian method is the premise of linear algebra, and provides tools which help discern the solution of a linear system. The Gaussian method is an algorithm of steps which constitutes meaningfulContinue reading “Gaussian Method of Solving Linear Systems: Linear Algebra”