find orthonormal basis of span of 2 vectors in r4?

7.5k Views Asked by At

Let $w = \mbox{span} \{(1,1,-2,0)^T,(1,0,2,1)^T\}$

Find an orthonormal basis for $w$ using dot product

1

There are 1 best solutions below

0
On BEST ANSWER

Just use Gram-Schmidt on $w$ which gives $$v_1 = \frac{1}{\sqrt{6}}(1,1,-2,0)$$ and $$v_2 = \frac{1}{3\sqrt{2}}(3,1,2,2).$$