Statistics Solutions

[Solution] Use the Gram-Schmidt orthonormalization process to transform the given basis for R^3 into an orthonormal basis. Use the Euclidean inner product

Question: Use the Gram-Schmidt orthonormalization process to transform the given basis for \(R^{3}\) into an orthonormal basis. Use the Euclidean inner product (ie dot product) for \(R^{3}\) and use the vectors in the order in which they are shown (ie use \(\vec{b}_{1}\) as the first vector in your orthonormal basis). Show all work.

\[B=\left\{\vec{b}_{1}, \vec{b}_{2}, \vec{b}_{3}\right\}=\{(0,1,2),(2,0,0)\]

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