Question: Inverse or Linear Algebra Matrix Inverse for square matrices

Hello,

I am trying to obtain an inverse of a symbolical 4 by 4 matrix in order to diagonalize it. I have noticed that the command 'Inverse' seems to find a matrix inverse almost instantaneously, whereas the Matrix Inverse command from the Linear Algebra package takes far longer - on the order of hours. Can anyone explain the difference between them? It seems like 'Inverse' is roughly speaking, an approximation to 'Matrix Inverse', however I have not been able to find any confirmation of that. Can anyone help here?

 

Cheers!

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