Explain the notation M^-1 used for the inverse of a square matrix M.

I thought M^-1 would be a normal inverse matrix except the numbers would be vertically switched like in fractions...? Not sure though.

2 answers

It involves much more than that.
I suggest you try google, where you can find full explanations.
If M is 2x2 with all ones, and N is 2x2 with all one-half, M times N will not give the identity matrix.
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