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Question: linear combinations of linear combinations suppose that each of the...

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Linear combinations of linear combinations. Suppose that each of the vectors b1, ·…bk IS a linear combination of the vectors a1, . . . , am, and c is a linear combination of bi, , bk Then c is a linear combination of a1, . am. (Showing it in general is not much more difficult, but the notation gets more complicated.)

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