Use a software program or a graphing utility with matrix capabilities to write \textbf{v} as a linear combination of \textbf{u\textsubscript{1}}, \textbf{u\textsubscript{2}}, \textbf{u\textsubscript{3}}, \textbf{u\textsubscript{4}}, and \textbf{u\textsubscript{5}}. Then verify your solution. (Enter your answer in terms of \textbf{u\textsubscript{1}}, \textbf{u\textsubscript{2}}, \textbf{u\textsubscript{3}}, \textbf{u\textsubscript{4}}, and \textbf{u\textsubscript{5}).
\textbf{v} = (5, 2, -12, 13, 6)
\textbf{u\textsubscript{1}} = (1, 2, -3, 4, -1)
\textbf{u\textsubscript{2}} = (1, 2, 0, 2, 1)
\textbf{u\textsubscript{3}} = (0, 1, 1, 1, -4)
\textbf{u\textsubscript{4}} = (2, 1, -1, 2, 1)
\textbf{u\textsubscript{5}} = (0, 2, 2, -1, -1)
\textbf{v} =