The vectors x1 = 1 2 (1, 1, 1,1)T and x2 = 1 6 (1, 1, 3, 5)T form an orthonormal set in

Chapter 5, Problem 7

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The vectors x1 = 1 2 (1, 1, 1,1)T and x2 = 1 6 (1, 1, 3, 5)T form an orthonormal set in R4. Extend this set to an orthonormal basis for R4 by finding an orthonormal basis for the null space of 1 1 1 1 1 1 3 5 [Hint: First find a basis for the null space and then use the GramSchmidt process.]

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