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Generally speaking, 2x2 matrices have the form {(a,b), (c,d)} where (a,b) is the first row and (c,d) is the second. The inverse of any 2x2 matrix, M, is just 1/det(M)*{(d,-b), (-c,a)} and the det(M) is just ad-bc. This means that every 2x2 matrix, M, has an inverse unless ad-bc=0.
--Jniederh 02:16, 11 March 2009 (UTC)

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