Question

matrices: solve for the orthonomal basis for the column space of:
-1 6 6
3 -8 3
1 -2 6
1 -4 -3

Answer 1

you will want to use the Gram-Schmidt process on these three column vectors.

http://en.wikipedia.org/wiki/Gram%E2%80%93Schmidt_process

That will produce an orthonormal basis.