Quote:Original post by johnnyBravoSomeone posted an algebraic answer already, but there's an equivalent geometric answer, in terms of vectors.
Hi, I need to calculate the inverse of a 3x3 matrix.
Let M = </b> be the 3x3 matrix consisting of the three <i>column</i> vectors <b>u</b>, <b>v</b>, and <b>w</b>. Then <b>inv(M)</b> is the result of multiplying matrix <b>A</b> with <b>1/dot(u, cross(v, w))</b> where <b>A = [r; s; t]</b> is a 3x3 matrix consisting of the three <i>row</i> vectors <b>r = cross(v, w)</b>, <b>s = cross(w, u)</b>, and <b>t = cross(u, v)</b>.<br>