2. Find the dimension of the subspace of R³ spanned by the following set of vectors. {(1,5, 6), (2,6, 8), (3, 7, –1), (4, 8, 12)] (а) 1 (b)2 (е) 3 (d)4 (е)0

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Q: 5. Determine which sets of vectors are orthogonal. (a) 1 ↑ 1 0 -5 2 1 5 -309 (b) -4 2

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Q: (2) Determine if the vectors are linear independent or linear dependent. Justify your answer. (a)…

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Q: 9. Let ū = (4, -6), T = (-2,4), and = (6,4). (a) Are ī and ū orthogonal vectors? How about ĩ and w?…

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A: Given u1+u2β=5,4t, and the change of coordinate matrix Q from β' to β is Q=1c3d. Express v1 as a…