MATH 220 Lecture Notes - Lecture 1: Linear Equation, Linear System
Document Summary
Math 220 lecture 1 1. 1 systems of linear equations. 1,2, , are coefficients. is a real or complex number, that is given in the problem. By graphing: a linear equation generates a straight line (each input has one output). Equation: an equation is linear if the power of the variables is one, no variable is multiplied by another (no product), and if it does not contain trigonometric functions. Example: which are linear equations: + 2 + = 5, 2 + 22 = 5, 1 +2 +3 +4 +5 = 1, = 1. Solution: + 2 + 3 = 0, + cos = 0, 5 + 1 + 3 = 6. 1, 3, and 7 are the only linear equations. *7 may not look like a linear equation because it contains square roots, but remember that the square root of a number is just another number (a constant).
