Inverse Matrix

[dreaded.neil@phreaker.net]

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On a totally different subject . . . 

If I have an object transformation matrix,

[O] = 
/ xa, ya, za, 0 \
| xb, yb, zb, 0 |
| xc, yc, zc, 0 |
\ xd, yd, zd, 1 /

and I want to create an inverse matrix, [O]^-1, so that I can multiply it
by my camera matrix to give another matrix to use for transforming points
from object space to view space, [O]^-1[C] = [V]. How would I do this? It
works nicely with:

[O]^-1 =
/ xa, xb, xc, 0 \
| ya, yb, yc, 0 |
| za, zb, zc, 0 |
\ dx, dy, dz, 1 /

where (dx, dy, dz) is the object's translation vector. Now I would like to
do this with just the two matrices, not needing to know the object's
position. Anyone remember linear algebra? :]

-[ Neil-Edelman -- dreaded.neil@phreaker.net -- ICQ UIN: 705130
-[ http://neil.freeshell.org/
-[ "Nature makes frequent use of [the infinite] everywhere" -Georg Cantor

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