The set of vectors {ui. u2, u3}, where U1 = (1, 1, 3), U2 = ( 1, 4, 1), and U3 = ( 1

Chapter 7, Problem 23

(choose chapter or problem)

The set of vectors {ui. u2, u3}, where U1 = (1, 1, 3), U2 = ( 1, 4, 1), and U3 = ( 1, 10, -3), is linearly dependent in R 3 since u3 = -2u1 + 3u2 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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