SYSTEMS AND MATRICES The fact that we can write and NxN system as a Matrix Equation allows us to use Inverse Matrices to solve the Matrix Equation rather than multi- step algebraic manipulations. Furthermore, for systems bigger than 2x2, this process allows us to quickly solve the system in one step, rather than a page full of steps!
SYSTEMS AND MATRICES The process for solving any system of equations using matrices is as follows: 1.Write the system as a matrix equation AX=B, where A = the coefficient matrix, X = the variable matrix, and B = the argument matrix 2.Find the inverse of A and multiply. 3.The solution to the system is given by X = A -1 B
EXAMPLE 1 – USING A CALCULATOR Step 1: Write the Matrix Equation. Step 2: Enter Matrix A and Matrix B in the calculator. Step 3: Solve by multiplying A -1 B. Step 4: Write the solution as a set of coordinates.