MATH125 Lecture 8: 08

• School: University of Alberta
• Department: Mathematics
• Course: MATH125
• Professor: Nikita

Document Summary

2. 1 introduction to systems of linear equations. Equations of this form are called linear equations. A linear equation in the n variables x1, . , xn is an equa- tion that can be written in the form a1x1 + a2x2 + + anxn = b where a1, . , an, b are real numbers usually known in advance. , an are called the coe cients of the linear equation and the number b is called the constant term. The subscript n may be any positive integer: 1, 2, 3, . Linear equation comes from the fact that the variables x1, . If b = 0 then a linear equation is called a homogeneous linear equation. Example: 1) the equation is linear, but not homogeneous. 4x1 5x2 = 2: the equation and it is not homogeneous, the following equations are not linear: x1 + x2x3 = 4; sin.