In each part, the solution space of the system is a subspace of R3 and so must be a line
Chapter 4, Problem 2(choose chapter or problem)
In each part, the solution space of the system is a subspace of R3 and so must be a line through the origin, a plane through the origin, all of R3, or the origin only. For each system, determine which is the case. If the subspace is a plane, find an equation for it, and if it is a line, find parametric equations. (a) 0x + 0y + 0z = 0 (b) 2x 3y + z = 0 6x 9y + 3z = 0 4x + 6y 2z = 0 (c) x 2y + 7z = 0 4x + 8y + 5z = 0 2x 4y + 3z = 0 (d) x + 4y + 8z = 0 2x + 5y + 6z = 0 3x + y 4z = 0
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