Chapter 8.1, Problem 1PP

Plot the points $v_1=\left[\begin{array}{c}1\\ 0\end{array}\right]$, $v_2=\left[\begin{array}{c}-1\\ 2\end{array}\right]$, $v_3=\left[\begin{array}{c}3\\ 1\end{array}\right]$, and $p=\left[\begin{array}{c}4\\ 3\end{array}\right]$on graph paper, and explain why p must be an affine combination of v₁, v₂, and v₃. Then find the affine combination for p. [Hint: What is the dimension of aff {v₁, v₂, v₃}?]