Can anyone help me with this question:
Find a 3 by 3 orthogonal matrix which has 5/13 as its (2,2)-element..
I know I didn't post this question but I haven't got a clue how to do it either.
After reading your post, here's what I tried:
Therefore I just need to arrange and in the matrix so that each vector is linearly independent from the other ones. I got this:
Just to emphasise the point: linear independence is not enough, the columns must be orthogonal to each other.