Answer: In Exercises 12-15 consider the homogeneous systems of linear equations
Chapter 1, Problem 14(choose chapter or problem)
In Exercises 12-15 consider the homogeneous systems of linear equations. (Aspects of these equations were considered in Exercises 8-11, Section 1.4.) For convenience, their general solutions are given. It can be shown as in Section 1.4 that the solutions of each system form a subspace W of some Rn. Find a basis for each subspace of solutions. Give the dimension of the subspace and give a written description of the subspace (a line, plane, or otherwise). Xi + X2 - 5x3 = 02xi + 3x2 - 13x3 = 0Xi - 2x3 = 0General solution is (2r, 3r, r)
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