The column picture for the previous exercise (singular system) is u 1 1 0 +v 1 2 1 +w 1

Chapter 1, Problem 1.2.9

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The column picture for the previous exercise (singular system) is u 1 1 0 +v 1 2 1 +w 1 3 2 = b. Show that the three columns on the left lie in the same plane by expressing the third column as a combination of the first two. What are all the solutions (u,v,w) if b is the zero vector (0,0,0)?

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