Column Major?

http://www.opentk.com/node/138

ModelView * Projection if memory serves right. There's a whole chapter dedicated to matrix operation at http://www.glprogramming.com/red/chapter03.html

in OpenTK.Math matrices are concatenated like this

C = A * B; // results in C containing matrix A transformed by B
 
// should be the same operation as:
 
GL.Matrixmode( ModelViewMatrix );
GL.LoadTransposedMatrix( A );
GL.MultTransposedMatrix( B );
GL.GetFloat( TransposedModelViewMatrix, out C.row0.X );

I use this "mind model" when thinking of matrix ordering:

newVec = matrix1*matrix2*...*matrixN*oldVec

.. so matrix1 is applied 'last' and matrixN 'first', on the oldVec-vector.

My mind model comes from linear algebra.

To me multiplication between matrices is mathematically defined something like:

R(r,c) = (A*B)(r,c) = A(r,:)*B(:,c)    // for relevant r, c

.. where

• R is the result matrix
• A(r,c) means element on row r, column c of matrix A
• A(r,:) means row r of A (a.k.a. row-vector)
• B(:,c) means column c of B (a.k.a. column-vector)

The definition could be read aloud something like "the element on row r column c of the result matrix equals the scalar product of row vector r of A and column vector c of B".

Multiplying a row and a column vector means:

              |b1|
|a1 a2 a3| * |b2|  =  a1b1 + a2b2 + a3b3   // similar to scalar-product of two vectors
             |b3|

I'm not entirely sure what you mean by row-major; does it have anything to do with the ordering of the elements in a computer representation of a matrix using an array?