MathAlgebraLinear algebraVectors and vector spaces

Linear combinations and linear independence

A linear combination

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Which of the following vectors is a linear combination of $\begin{pmatrix} 1 \\ 3 \\ 0 \end{pmatrix}$ and $\begin{pmatrix} -1 \\ 2 \\ 0 \end{pmatrix}$ with coefficients $c_1 = -2$ and $c_2 = 3$ ?

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\begin{pmatrix} 5 \\ 0 \\ 0 \end{pmatrix}

\begin{pmatrix} -5 \\ 0 \\ 0 \end{pmatrix}

\begin{pmatrix} -5 \end{pmatrix}

\begin{pmatrix} 0 \\ 5 \\ 0 \end{pmatrix}

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