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4 by 4 Inverse Matrix

  • Thread starter HF08
  • Start date
39
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Inquiry:

Is there a standard equation for a 4 by 4 inverse? I know that one exists for 3 by 3, 2 by 2, but I cannot find one in my text nor in my searches online. I know I could find one by using the Jordan-Gaussian Method. But, I would be more comfortable with knowing a 4 by 4 general method/equation. I plan on doing alot of inverses for a 4 by 4.

If you know of any resources, please help me. Also, if I should find this on my own by scratch, please help me.

Thank You,
HF08
 

Answers and Replies

Dick
Science Advisor
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Yes, you should probably create an explicit formula on your own. You don't find it listed just because it's lengthy to write down. But it should be an obvious extension of the lower dimensional cases. It's a matrix of the determinants of the minors of the nxn matrix divided by the determinant of the whole matrix.
 
39
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Thanks

Yes, you should probably create an explicit formula on your own. You don't find it listed just because it's lengthy to write down. But it should be an obvious extension of the lower dimensional cases. It's a matrix of the determinants of the minors of the nxn matrix divided by the determinant of the whole matrix.

Can you please provide some links to the n = 2 and n = 3 cases please? After that, I'll do the rest on my own. Thanks.

HFO8
 
Dick
Science Advisor
Homework Helper
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618

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