How Do You Use Matrices To Solve Linear Equations?
Linear algebra is the division of math concerned with vectors and the rules applied to vectors. It focuses on matrices, which are mathematical structures used to represent vector transformations. The most basic and important application of linear algebra is solving systems of linear equations, which include any problem that seeks a solution to more than one variable for a series of two or more linear equations. Align your system of linear equations so that the same variables occupy the same space so that all constants are on the right side of the equation. If a variable does not exist for one of the linear equations, make its coefficient zero. For example, consider the following system of linear equations: 3x + 5z — y = 10 x — y + 1 = -1 2y — 3z + x = 1 becomes … 3x — y + 5z = 10 x — y + 0z = -2 x + 2y — 3z = 1 Note: If a term does not change its side of the equation, its sign does not change. Create the matrices that you will store into your calculator. [A] = the coefficients
