Question

From the following subsets S of 2 × 2 matrices, select all that are linearly dependent sets. There may be more than one correct answer. A. S = \{ \begin{bmatrix} -3 & 1 \\ -2 & -6 \end{bmatrix}, \begin{bmatrix} 6 & -2 \\ 4 & 12 \end{bmatrix} \} B. S = \{ \begin{bmatrix} -3 & 1 \\ -2 & -6 \end{bmatrix}, \begin{bmatrix} 6 & 2 \\ 6 & 12 \end{bmatrix} \} C. S = \{ \begin{bmatrix} -3 & 1 \\ -2 & -6 \end{bmatrix}, \begin{bmatrix} 6 & 2 \\ 6 & 12 \end{bmatrix}, \begin{bmatrix} 1 & -3 \\ 9 & 10 \end{bmatrix}, \begin{bmatrix} 1 & -3 \\ -2 & -2 \end{bmatrix}, \begin{bmatrix} 17 & -31 \\ \pi & e^2 \end{bmatrix} \} D. S = \{ \begin{bmatrix} 3 & 2 \\ 2 & 1 \end{bmatrix}, \begin{bmatrix} 2 & 3 \\ 3 & 2 \end{bmatrix}, \begin{bmatrix} 2 & 2 \\ 3 & 0 \end{bmatrix} \} E. None of the above.

          From the following subsets S of 2 × 2 matrices, select all that are linearly dependent sets. There may be more than one correct answer.
A. S = \{ \begin{bmatrix} -3 & 1 \\ -2 & -6 \end{bmatrix}, \begin{bmatrix} 6 & -2 \\ 4 & 12 \end{bmatrix} \}
B. S = \{ \begin{bmatrix} -3 & 1 \\ -2 & -6 \end{bmatrix}, \begin{bmatrix} 6 & 2 \\ 6 & 12 \end{bmatrix} \}
C. S = \{ \begin{bmatrix} -3 & 1 \\ -2 & -6 \end{bmatrix}, \begin{bmatrix} 6 & 2 \\ 6 & 12 \end{bmatrix}, \begin{bmatrix} 1 & -3 \\ 9 & 10 \end{bmatrix}, \begin{bmatrix} 1 & -3 \\ -2 & -2 \end{bmatrix}, \begin{bmatrix} 17 & -31 \\ \pi & e^2 \end{bmatrix} \}
D. S = \{ \begin{bmatrix} 3 & 2 \\ 2 & 1 \end{bmatrix}, \begin{bmatrix} 2 & 3 \\ 3 & 2 \end{bmatrix}, \begin{bmatrix} 2 & 2 \\ 3 & 0 \end{bmatrix} \}
E. None of the above.

From the following subsets S of 2 × 2 matrices, select all that are linearly dependent sets. There may be more than one correct answer.
A. S = {
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B. S = {
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C. S = {
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D. S = {
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E. None of the above.

Added by Rebecca K.

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