Matrix question | GameDev.net

evil_ash · 2003-01-08T15:17:22+00:00

if the matrix [1,0,0,0 0,cos(radian),-sin(radian),0 ,0,Sin(radian),cos(radian),0 ,0,0,0,1] rotates around the x in reltaion to the point 0,0,0 would [1,0,0,x 0,cos(radian),-sin(radian),y ,0,Sin(radian),cos(radian),z ,0,0,0,1] rotate around the axis relative to point x,y,z

No. Let s = sin theta, c = cos theta.

Rotation around z axis
[ c s 0 0 ]
[ -s c 0 0 ]
[ 0 0 1 0 ]
[ 0 0 0 1 ]

around y
[ c 0 s 0 ]
[ 0 1 0 0 ]
[ -s 0 c 0 ]
[ 0 0 0 1 ]

so you swap the columns with sin and cos in them, and replace the other rows with rows from the identity.

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