Consider the following sets ofvectors, (i) Show that the setis linearly independent;
Chapter 9, Problem 6(choose chapter or problem)
Consider the following sets ofvectors, (i) Show that the setis linearly independent; (ii) use the GramSchmidt process to find a set of orthogonal vectors; (iii) determine a set oforthonormal vectors from the vectors in (ii). a. v, = (2,-1)', v2 = (1,3)' b. v, =(2,-1,1)', v2 = (1,0.1)', v3 = (0,2,0)' c. v, = (I, 1, I, I)', v2 = (0, 1,1, I)', V3 = (0,0, 1,0)' d. v 1 = (2,2,0,2, 1)', v2 = (-1,2,0,-1, I)', V3 = (0. 1,0, 1.0)', V4 = (-1,0,0, 1, 1)'
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