Chapter 3.2, Problem 2PP

Use a determinant to decide if v₁, v₂, and v₃ are linearly independent, when

v₁ = $\left[\begin{array}{c}\begin{array}{c}5\\ -7\\ 9\end{array}\end{array}\right]$, v₂ = $\left[\begin{array}{c}\begin{array}{c}-3\\ 3\\ -5\end{array}\end{array}\right]$, v₃ = $\left[\begin{array}{c}\begin{array}{c}2\\ -7\\ 5\end{array}\end{array}\right]$