Finding matrix and the inverse is given

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Homework Statement



Using the following information, find the matrix A

(I+2A)-1 =

[-1 2]
[4 5]

Homework Equations



AA-1 = I

The Attempt at a Solution



none. I have no idea how should I start. The inverse on the whole left side is driving me crazy.
 

Answers and Replies

  • #2
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Start reversing the operations of (I+2A)-1 one by one till you strip it down to A. You know the matrix value of (I+2A)-1
 
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Start reversing the operations of (I+2A)-1 one by one till you strip it down to A. You know the matrix value of (I+2A)-1

Thanks a lot for the response, so basically start getting the inverse of the given matrix and get rid of the -1 on the left then and keep going, is that what you mean ?

Sounds logical, not sure why I never thought of it that way. Again thank you.
 
  • #4
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That's right.
 
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Solved and understood. Thanks again :)
 

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