Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: her an equation which is always true, called an identity, or an equation which is never true, called a contradiction. (If c = 0, then we get 0 = 0, which is always true. If c = 0, then we’d have 0 = 0, which is never true.) Even though identities and contradictions have a large role to play 1 Critics may argue that x = 5 is clearly an equation in one variable. It can also be considered an equation in 117 variables with the coefficients of 116 variables set to 0. As with many conventions in Mathematics, the context will clarify the situation. 450 Systems of Equations and Matrices in the upcoming sections, we do not consider them linear equations. The key to identifying linear equations is to note that the variables involved are to the first power and that the coefficients of the variables are numbers. Some examples of equations which are non-linear are x2 + y = 1, xy = 5 and e2x + ln(y ) = 1. We leave it to the reader to explain why these do not satisfy Definition 8.1. From what we know from Sections 1.2 and 2....
View Full Document

This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

Ask a homework question - tutors are online