Algebra II Recipe: Solving Systems Using a Matrix Equation

Matrix - rows and columns of numbers

and
2x2 matrix 2x3 matrix

Steps

1. Write the equation in the form AX = B, where A, X, and B are matrices.
• Matrix A consists of the coefficients of the x's and y's.
• Matrix X consists of the variables x and y.
• Matrix B consists of the numbers the equations are set equal to.
2. Multiply both sides of the equation by the inverse of A, (A^-1)
1. On the graphing calculator, A^-1· B.

Practice Problems