Consider the nonhomogeneous systems of linear equations in Exercises 36--39. For
Chapter 2, Problem 36(choose chapter or problem)
Consider the nonhomogeneous systems of linear equations in Exercises 36--39. For convenience, their general solutionsare given. (a) Write down the corresponding homogeneous system and give its general solution. (b) Give a basis for this subspace of solutions to the homogeneous system and a written description of the subspace. (c) Give a written description of the subspace of solutions to the nonhomogeneous system. 1 x1 + x2 - 2x3 = 5 2x1 + x2 - x3 = 7 General solution ( -r + 2, 3r + 3, r)
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