Essays on Inner Product

In this paper we summarize what’s written in the book “Elementary Linear Algebra” by Howard Anton & Chris Rortes. The book describes the basic methods of elementary linear algebra, linear nature of considering objects: vector (or linear) space, linear transformations, systems of linear equations, quadratic and bilinear forms. The main linear algebra tools considered in this book are systems of linear algebraic equations, determinants, matrixes, conjugation.

The book consists of ten chapters; each part describes one of the major areas of linear algebra.

The first chapter is “Systems of Linear Equations and Matrices”. A System of m linear algebraic equations with n unknown variables (or linear system, also used the abbreviation SLAE) ...

Introduction

Taxicab geometry is a better idealized model for urban geography as compared to Euclidean geometry. This is very applicable in urban planning where distances within the roads are divided within rigid blocks and the shortest distance cannot be the hypotenuse. This is very helpful in establishing the shortest distance between any two points. ( Surhome, Timpledon & Susan). Geometry can be traced back over 2000 years. This is solely refers to Euclidean geometry introduced by Euclid. A German mathematician Hermann Miknowski proposed taxicab geometry. He had the proposition that distances in taxicab geometry is different than in Euclidean geometry. His ...