A matrix can be used to help us evaluate a linear system for certain. You start by multiplying the first row of the first matrix with the same column of the second and equate it to the first element of the last matrix to obtain the first equation. Then you will have to multiply the second row of the first matrix with the column of the second and equate it to the second element of the last matrix to obtain the second equation.
There are a variety of different equations in algebra. You will find linear equations, quadratic equations, cubic equations, and also matrices. You are here, reading this, which means you know what matrices and their basic applications. Let's recall. These equations are of the form AX=B., where A, B, and X are matrices. A is the mxn matrix of constant, B is the axb of roots, and X is the cxd of the variables. You can use this system to solve linear equations and even use it to write linear equations. You can form a coefficient matrix by just taking the coefficients of the variables for each equation and placing them in a row of the matrix. For example if had the equations: 4x - 2y = 8 and 3x + 6y = 12 your conversion would be written as [4/3 -2/6]. These worksheets explain how to convert 2 x 2 or 3 x 3 matrices into linear equations, and vice versa. Equations are simple addition and subtraction.
