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(Solved): Let A=[[-3,9,12],[4,-14,-12],[1,0,-10]]. We want to determine if the columns of matrix A and are lin ...
Let A=[[-3,9,12],[4,-14,-12],[1,0,-10]].
We want to determine if the columns of matrix A and are linearly independent. To do that we row reduce A.
To do this we add
times the first row to the second.
We then add
1
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 A are linearly independent.
B. The columns of A are linearly dependent.
C. We cannot tell if the columns of A are linearly independent or not.