## 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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