determine whether the given set is linearly independent. 23. $\begin{Bmatrix} \begin{bmatrix} 1 \\ -1 \\ -2 \end{bmatrix}, \begin{bmatrix} -1 \\ 0 \\ 1 \end{bmatrix}, \begin{bmatrix} 1 \\ 2 \\ 1 \end{bmatrix} \end{Bmatrix}$ 30. $\begin{Bmatrix} \begin{bmatrix} -1 \\ 0 \\ 1 \\ -1 \end{bmatrix}, \begin{bmatrix} 1 \\ 0 \\ -2 \\ 0 \end{bmatrix}, \begin{bmatrix} 0 \\ -2 \\ 1 \\ 2 \end{bmatrix} \end{Bmatrix}$ determine whether each matrix is invertible. 7. $\begin{bmatrix} 1 & -2 & 1 \\ 1 & 0 & 1 \\ 1 & -1 & 1 \end{bmatrix}$ 16. $\begin{bmatrix} 1 & 2 & 1 & -1 \\ 2 & 5 & 1 & -1 \\ 1 & 3 & 1 & 2 \\ 2 & 4 & 2 & -1 \end{bmatrix}$
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Step 1: To determine whether the given set is linearly independent, we can form a matrix using the given vectors and then find the determinant of the matrix. Show more…
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