solving a matrix equation using an inverse matrix

1
Section 7-3

• solving a matrix equation using an inverse
  matrix
• solving a system of equations using the
  inverse matrix technique
• application finding the equation of a
  parabola

2
Solving a Matrix Equation

• Assume that A, X, and B are matrices.

this expression can be used to solve systems of
equations as well
3
Inverse Matrix Technique

• re-write the system as a matrix equation in the
  form
• solve the system using the expression
• for 2 x 2, it can be done algebraically
• for 3 x 3, it can only be done on the calculator

4

• Example 2 x 2 3x 2y 5
• 2x 5y 16

so the solution is (-3, 2)