MATH 1B03 Lecture Notes - Lecture 1: Gaussian Elimination, List Of Forgotten Realms Nations, Elementary Matrix
4 Dec 2014
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Introduce matrices and matrix algebra, sections 1. 3 - 1. 4. A linear equation in n unknowns or variables has the form a1x1 + a2x2 + . + anxn = b where the xi"s are the unknowns and the ai"s and the b are numbers. We may use letters like x, y or z for the variables when we have only a few. If when you substitute x1 = s1, x2 = s2, . , xn = sn into the linear equation above and the left hand side equals the right hand side, we say that this is a solution to that linear equation. A nite set of linear equations is called a system of linear equations; in general a linear system looks like this: a11x1 + a12x2+ . A solution to a linear system is an ordered n-tuple which is simultaneously a solution to each equation. For the linear system a11x1 + a12x2+ .
