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October 29th, 2009, 12:03 AM  #1 
Newbie Joined: Oct 2009 Posts: 1 Thanks: 0  the inverse of a matrix
Im having trouble wrapping my head around this concept Suppose A, B, X are nxn matrices with A, X, and AAX invertible (A  AX)^1 = X^1 * B 1. explain why B is invertible 2. solve for X my answer 1. the product of nxn invertible matrices are invertible. (AAx) is an invertible matrix, which is the product of 2 invertible nxn matrices, X and B. Not the best logic but I have no idea what else to say 2. no idea where to start thanks for the help 
October 29th, 2009, 04:19 AM  #2  
Senior Member Joined: Oct 2007 From: Chicago Posts: 1,701 Thanks: 3  Re: the inverse of a matrix Quote:
Quote:
Try multiplying on the left by X. Then you can use the statement "the product of two invertible matrices is invertible". Quote:
 

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