The subspace W of is given by the vectors:
I need help calculating the projection of the vector x (1,1,1,1) in to the subspace.
I know I need to make all the vectors orthogonal and then i can use the following formula:
My question is can i use the first two vectors (that happen to be orthogonal) and just use Gram Schmidt on the last vector to make it orthogonal or do I have to use Gram-Schmidt on all the vectors?
I tried using Gram-schmidt on the third vector to get it orthogonal, this got me the following vector.
I put this vector in to the formula above and came up with the following projection:
Are my calculations correct?