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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-1ยท B.
ExamplesExamples:
-2x + y = 13
x - 4y = -31

4x + 12y = -24
3x - 6y = -18




G Redden

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