Introduction to Systems of Linear Equations

Question 1

There are few details known about the life of Euclid. Most evidence of his work comes from the writings of other scholars at that time. What are some of the theories about Euclid? Check all that apply.

Revolt · Accepted Answer

He lived in Alexandria, Egypt.; His work is actually a combination of many scholars’ work.; He is credited as the father of geometry.

Question 2

Throughout history, famous mathematicians typically had several students working with them on important publications. Being a skilled teacher, Euclid had many followers who helped him to compile the information presented in his most famous work, . This book has volumes that address axioms, postulates, and theorems related to number theory, elementary algebra, and .

Revolt · Accepted Answer

Selection 1: Elements; Selection 2: 13; Selection 3: geometry

Question 3

Geometry classes today tend to treat axioms and postulates as synonyms; however, there were distinctions between these two ideas. What were the distinctions made by Greek mathematicians?

Revolt · Accepted Answer

Axioms applied to all sciences, while postulates were for specific studies.

Question 4

Which modern mathematical statement is equivalent to this axiom?

Revolt · Accepted Answer

If a = b and b = c, then a = c.

Introduction to Systems of Linear Equations Answers

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