Determine if the following vectors are linearly independent (a) [2 2 4], [1 6 6], [3 6 3]. (b) $\begin{bmatrix} 1 \ 2 \ 3 \end{bmatrix}$, $\begin{bmatrix} 2 \ 3 \ 1 \end{bmatrix}$, $\begin{bmatrix} 3 \ 1 \ 1 \end{bmatrix}$, $\begin{bmatrix} 1 \ 1 \ 2 \end{bmatrix}$. (c) $\begin{bmatrix} 1 \ 2 \ 3 \ 1 \end{bmatrix}$, $\begin{bmatrix} 2 \ 3 \ 1 \ 1 \end{bmatrix}$, $\begin{bmatrix} 3 \ 1 \ 1 \ 2 \end{bmatrix}$, $\begin{bmatrix} 1 \ 1 \ 2 \ 3 \end{bmatrix}$.
Added by Clayton M.
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Step 1: To determine if the vectors are linearly independent, we need to check if the only solution to the equation $c_1v_1 + c_2v_2 + c_3v_3 = 0$ is $c_1 = c_2 = c_3 = 0$. Show more…
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