Let .
We want to determine if the columns of matrix and are linearly independent. To do that we row reduce .
To do 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 columns of are linearly dependent. B. The columns of are linearly independent. C. We cannot tell if the columns of are linearly independent or not.
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