2. Note that the following four subquestions are independent of each other. (a) [10 points] Consider the following three
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2. Note that the following four subquestions are independent of each other. (a) [10 points] Consider the following three
2. Note that the following four subquestions are independent of each other. (a) [10 points] Consider the following three vectors in R3 : 2 do ai = a2 = -2 2 8 a3 = > 12 4 6 Is ai E span{a2, a3}? Is 0 E span{a2, a3}, where 0 = , | ? Justify your answers. 0 (b) [8 points] Suppose {bı, b2} is a linearly independent set in R?. Show that {bı – 7b2, 7b2 + bı} is also a linearly indepedent set. Is bí a linear combination of bı – 7b2 and 7b2 + bị ? Justify your answers.
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