Determine whether the solution space of the system Ax = 0 is a line through the origin

Chapter 4, Problem 15

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Determine whether the solution space of the system Ax = 0 is a line through the origin, a plane through the origin, or the origin only. If it is a plane, find an equation for it. If it is a line, find parametric equations for it. (a) A = 111 3 1 0 2 4 5 (b) A = 123 253 108 (c) A = 1 3 1 2 6 2 3 9 3 (d) A = 1 1 1 2 1 4 3 1 11

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