How do you use the Gram-Schmidt process to find an orthonormal basis for the subspace of R^4 with basis {(1,1,-1,0),(0,2,0,1),(-1,0,0,1)}? Thank you.

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- Mar 31st 2009, 02:01 PMantmanGram-Schmidt process
How do you use the Gram-Schmidt process to find an orthonormal basis for the subspace of R^4 with basis {(1,1,-1,0),(0,2,0,1),(-1,0,0,1)}? Thank you.

- Mar 31st 2009, 03:45 PMNonCommAlg
call your three vectors $\displaystyle v_1,v_2,v_3.$ now take a look at this. the vectors you're looking for are $\displaystyle e_1,e_2,e_3$