Matrix Algebra Tutor - 
                   Worksheet 8 –  
         Solving Systems of Equations 
              Using Matrix Inverses 
        
        
        
        
        
        
        
        
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               Matrix Algebra Tutor - Worksheet 8 – Solving Systems of Equations Using Matrix 
               Inverses 
               1.  Solve this system of equations using matrix inverses given the matrix inverse 
               below. 
                                                          xy+=4
                                                                   
                                                       2xy+=3    9
                                1 1         3    −1
               The inverse of [       ] is [         ]. 
                                2 3        −2     1
                
                
                
                
                
                
               2.  Solve this system of equations using matrix inverses given the matrix inverse 
               below. 
                                                       30xy+=
                                                                   
                                                       xy−=6    38
                                             6      1
                                3    1       19    19
               The inverse of [         ] is            . 
                                            [          ]
                                             1       3
                                1 −6              −
                                             19     19
                
                
                
                
                
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               3.  Solve this system of equations using matrix inverses. 
                                                       3xy−=4    0
                                                                     
                                                       3xy+=2    36
                
                
                
                
                
                
                
                
                
               4.  Solve this system of equations using matrix inverses. 
                                                       2xy+3 =−4 
                                                        35xy−=
                                                               
                                                               
                                                               
                                                               
                                                               
                                                               
                                                               
                                                               
                                                               
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               5.  Solve this system of equations using matrix inverses. 
                                                       2xy+=3    7
                                                                   
                                                       3xy−=4    2
                                                              
                                                              
                                                              
                                                              
                                                              
                                                              
                                                              
                                                              
               6.  Solve this system of equations using matrix inverses. 
                                                       3xy+=4    7
                                                                   
                                                       4xy−=3    1
                
                
                
                
                
                
                
                
                
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