Express a Vector as a Linear Combination of Given Three Vectors
Problem 298
Let
\[\mathbf{v}_1=\begin{bmatrix}
1 \\
5 \\
-1
\end{bmatrix}, \mathbf{v}_2=\begin{bmatrix}
1 \\
4 \\
3
\end{bmatrix}, \mathbf{v}_3=\begin{bmatrix}
1 \\
2 \\
1
\end{bmatrix}, \mathbf{b}=\begin{bmatrix}
2 \\
13 \\
6
\end{bmatrix}.\]
Express the vector $\mathbf{b}$ as a linear combination of the vector $\mathbf{v}_1, \mathbf{v}_2, \mathbf{v}_3$.
(The Ohio State University, Linear Algebra Midterm Exam Problem)
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