can someone give me an example of how this is done? thanks Find an orthonormal b

Question

can someone give me an example of how this is done? thanks

Find an orthonormal basis for R4 which includes (1, 1, 1, 1)T through the following procedure: Pick a vector perpendicular to the vector v1 defined by = (1, 1, 1, 1) from the solution set of the matrix equation . Pick the vector v2 obtained from the standard procedure which is the coefficient of x2. Pick a vector perpendicular to both v1 and v2 from the solutions set of the matrix equation . Pick the vector v3 obtained from the standard procedure with x3 as the coefficient. Pick a vector perpendicular to v1, v2, and v3 from the solution set of the matrix equation . Pick the vector v4 obtained from the standard procedure with x3 as the coefficient. Normalize the four vectors obtained above.

Explanation / Answer

the link given below shows the exact solution

http://www.youtube.com/watch?feature=player_detailpage&v=ZIIvJChioKs

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