The new forums will be named Coin Return (based on the most recent vote)! You can check on the status and timeline of the transition to the new forums here.
The Guiding Principles and New Rules document is now in effect.
Check out the part about "Finding the inverse of a matrix." Basically you do elementary row operations until the left hand side is the identity matrix. The right side will then be the inverse of the matrix that started on the left side.
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http://en.wikipedia.org/wiki/Gauss%E2%80%93Jordan_elimination