Let , , and .
We want to determine if is linearly independent. To do that we write the vectors as columns of a matrix and row reduce that matrix.
To check this we add times the first row to the second. We then add times the first row to the third. We then add times the new second row to the new third row. We conclude that
A. The set is linearly independent. B. The set is linearly dependent. C. We cannot tell if the set is linearly independent or not.
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