consider the nonhomogeneous system of linear equation provided.  For convenience, the general solution is given.  x1         + x3 = 2 x1 + x2 - 2x3 = 5  2x1 + x2 - x3 = 7 General solution (-r + 2, 3r + 3 , r) (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.

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.