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Unformatted text preview: 0 52 8 41 36 , 12 1 0 52 8 0 716 . 4. Suppose the augmented matrix [ A  u ] is row equivalent to B = 1 0 0 2 0 1 0 3 0 0 1 5 0 0 0 0 . 1 • Is u in the span of the columns of A ? • Do the columns of A span R 4 ? 5. Suppose C is row equivalent to D = 1 1 0 0 0 0 0 1 2 0 0 0 0 0 1 • Do the columns of C span R 3 ? • Can every vector in R 3 be written as a linear combination of the columns of C ? 6. A mining company owns two mines. Mine 1 produces 20 tons of copper and .11 tons of silver per day; and mine 2 produces 30 tons of copper and .1 tons of silver per day. Let x j denote the number of days mine j operates. Write a system of equations whose solution gives the number of days each mine should operate to produce 150 tons of copper and .6 tons of silver. 2...
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 Fall '08
 Olson
 Linear Algebra, augmented matrix

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