To check which of the given choices is the inverse of the given matrix,

multiply each of the candidate inverses by A. If you get the identity matrix, you have found the correct inverse. For example, choice D yields

  2  
  3  
1
2
  2  
  -3  
-1
2
=
  1  
  0  
0
1
A Choice D Identity I

Thus, D is the correct choice.


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