3. (BONUS)Use the Gram-Schmidt Orthonormalization process to transform the given basis for R³ into an orthonormal basis B = {(1,1,1), (2,2,-1), (0,2,-1)}
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Step 1
Normalize the first vector in the basis: v1 = (1,1,1) ||v1|| = sqrt(1^2 + 1^2 + 1^2) = sqrt(3) u1 = v1/||v1|| = (1/sqrt(3), 1/sqrt(3), 1/sqrt(3)) Show more…
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Apply the Gram-Schmidt orthonormalization process to transform the given basis for $R^{n}$ into an orthonormal basis. Use the vectors in the order in which they are given. $B=\{(1,0,0),(1,1,1),(1,1,-1)\}$
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