For each of the following sets of vectors, determine if they are lincarly independent by using the Gram-Schmidt process to find an orthogonal basis for their spans. Then, determine the dimension of their spans, and find an orthonormal basis for their spans.
S1= ⎣⎡10 −1 ⎦⎤, ⎣⎡5 3 1⎦⎤, ⎣⎡1 −1 3 ⎦⎤
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S 2= ⎣⎡2 2 −2 ⎦⎤, ⎣⎡2 0 −1⎦⎤, ⎣⎡2 8 −5​ ⎦⎤
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