(a) Find a homogeneous linear system of two equations in three unknowns whose solution
Chapter 3, Problem 24(choose chapter or problem)
(a) Find a homogeneous linear system of two equations in three unknowns whose solution space consists of those vectors in R3 that are orthogonal to a = (3, 2, 1) and b = (0, 2, 2). (b) What kind of geometric object is the solution space? (c) Find a general solution of the system obtained in part (a), and confirm that Theorem 3.4.3 holds.
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