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## Homework Statement

Let A = [tex]\left( \begin{array}{l} \begin{array}{*{20}c} 0 & 1 & { - 1} \\ \end{array} \\ \begin{array}{*{20}c} 2 & 1 & 1 \\ \end{array} \\

\end{array} \right)[/tex]. Suppose that for some

**b**in [tex]\mathbb{R}^2[/tex], [tex]p = \left( {\begin{array}{*{20}c} 1 \\ { - 1} \\ 1 \\ \end{array} } \right)[/tex] is one particular solution to the nonhomogeneous equation A

**x = b**. What is the general form of the solution to this equation (A

**x = b**)?

## Homework Equations

A relevant definition: A nonhomogeneous system is one with Ax = b, b is not equal to zero. A is a matrix and x and b are vectors.

## The Attempt at a Solution

Since a homogeneous equation is Ax = 0, b = 0 in this particular question. Given p, I can presume that the general form of the solution will include p, but I'm not sure how to proceed.