The set of vectors {u1, u2, u3}, where u1 1, 1, 3, u2 1, 4, 1, and u3 1, 10, 3, is
Chapter 7, Problem 23(choose chapter or problem)
The set of vectors \(\left\{\mathbf{u}_{1}, \mathbf{u}_{2}, \mathbf{u}_{3}\right\}\), where
\(\mathbf{u}_{1}=\langle 1,1,3\rangle, \mathbf{u}_{2}=\langle 1,4,1\rangle, \text { and } \mathbf{u}_{3}=\langle 1,10,-3\rangle,\)
is linearly dependent in \(R^{3}\) since \(\mathbf{u}_{3}=-2 \mathbf{u}_{1}+3 \mathbf{u}_{2}\). Discuss what you would expect when the Gram-Schmidt process in (4) is applied to these vectors. Then carry out the orthogonalization process.
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