Find an orthonormal basis for R^4 that contains an orthonormalbasis for the subs

Question

Find an orthonormal basis for R^4 that contains an orthonormalbasis for the subspace sp([1, 0, 1, 0], [0, 1, 1,0]. When I did this I got two vectors using the Gram-Schmitprocess. The answer in the back of the book has an answer with 4vectors. Please show work. Find an orthonormal basis for R^4 that contains an orthonormalbasis for the subspace sp([1, 0, 1, 0], [0, 1, 1,0]. When I did this I got two vectors using the Gram-Schmitprocess. The answer in the back of the book has an answer with 4vectors. Please show work.

Explanation / Answer

Find an orthonormal basis for R^4 that contains an orthonormalbasis for the subspace sp([1, 0, 1, 0], [0, 1, 1,0]. When I did this I got two vectors using the Gram-Schmitprocess. The answer in the back of the book has an answer with 4vectors. Please show work.
YOU HAVE NOT SHOWN YOUR WORK,BUT I THINK YOU USED G.S.P. ON
THE 2 GIVEN VECTORS [(1, 0, 1, 0), (0, 1, 1,0)].
BUT IN R4,WE NEED 4 L.I. VECTORS TO FORM A BASIS...
WHERE ARE THE OTHER 2 VECTORS....
FROM WHAT IS GIVEN ,IS THERE SOME TYPO? IN THE QUESTION..
PARTICULARLY WHY INSTEAD OF ASKING SIMPLY...
Find an orthonormal basis for R^4 for the subspace sp([1, 0, 1, 0],[0, 1, 1,0]....?
WHY YOU PUT IT AS
Find an orthonormal basis for R^4 that contains an orthonormalbasis for
the subspace sp([1, 0, 1, 0], [0, 1, 1,0].WHY DID YOU REPEATO.N.B.?
ANY WAY FROM WHAT IS GIVEN...,IF IT MEANS THE SPACE ORTHOGONAL
TO THE SPACE SPANNED BY THE 2 GIVEN VECTORS..THEN...THEQUESTION
IS DIFFERENT ..SDUCH A SPACE WOULD BE SPANNED BY...
[0,0,0,1] ; [-1,-1,1,1] ; [-1,-1,1,1] ; [-1,-1,1,0]....
TRY USING G.S.P. AND CHECK WITH YOUR ANSWER....

BUT I WOULD LIKE TO SEE THE FULL PROBLEM AND
ANSWER AS GIVEN TO GIVE YOU THE RIGHT OPINION...

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