Talk:Determinant of Matrix Product

I do not think that the elementary operations on rows converting a square matrix to a triangular one can introduce a minus sign before the determinant. In other words, multiplying one row by a constant and subtracting it from another row does not change the value of the determinant, and this is how the square matrix is converted to a triangular matrix. The second stated proof is therefore robustly correct. The proof of this concept may be found in elementary math analysis texts.
 * You are correct. The method used in Square Matrix Row Equivalent to Triangular Matrix can be adapted to avoid the type 3 elementary operations. I will hopefully get to this later today. --Lord_Farin 11:51, 3 November 2011 (CDT)
 * Thx guys. I will amend the proof as appropriate. --prime mover 15:17, 3 November 2011 (CDT)