3D Graphics Processing - How to calculate modelview matrix

Question

I am having trouble understanding the math to convert from object space to view space. I am doing this in hardware and I have the Atranspose matrix below:

ATranspose = <

Answer 1

If you transpose ATranspose in the second variant, i.e.

[x,y,z,w]^T = ATranspose^T * [x',y',z',w']^T

BTW, ^T means transpose so the original author probably meant

[x,y,z,w] = [x',y',z',w'] * A^T

and rewritten

[x,y,z,w]^T = A^T * [x',y',z',w']^T

then all these formulations are equally correct.