.
Systems of Equations: Use of Matrix Inverses
   Problem 1.1 (complexity 2). Solution

Find the solution of the system of two linear equations in two unknowns using matrix inverses:
   

Solution
We can write the system as the matrix equation AX=B, where
  ,   ,     .
If A-1 exists, we can solve the matrix equation by multiplying both sides of the equation by A-1. It gives
X=A-1B.

If A is a square matrix of order 2 , then its inverse matrix is
 
 
   
 Answer:  


Copyright © 1998-2001 MathAid, LLC. All rights reserved.