I'm supposed to find the orthogonal projection of the given vector on the given subspace W of the the inner product space V. I found a final answer online, but I'm not getting it. The details of the problem are in the first line. Pay no attention to my old work in the scan.
http://i111.photobucket.com/albums/n149/camarolt4z28/File2.png
P1 has dimension 2 and basis = {1,x}. I used Gram-Schmit and normalized this basis to get {1, x-(1/2)}. I then used the projection formula to get my vector. The form is similar to the final answer, but it's off by some scalar.
http://i111.photobucket.com/albums/n149/camarolt4z28/File2.png
P1 has dimension 2 and basis = {1,x}. I used Gram-Schmit and normalized this basis to get {1, x-(1/2)}. I then used the projection formula to get my vector. The form is similar to the final answer, but it's off by some scalar.