Hw7: Problem 13 Previous Problem ListNext 1 point) Let A =1-1-3-1 6 -12-24 -2 3

Question

Hw7: Problem 13 Previous Problem ListNext 1 point) Let A =1-1-3-1 6 -12-24 -2 3 7 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 addtimes the first row to the second. times the first row to the third. We then add We then add We conclude that times the new second row to the new third row A. The columns of A are linearly dependent. B. The columns of A are linearly independent. C. We cannot tell if the columns of A are linearly independent or not.

Explanation / Answer

I will write the sequence of steps.So

1) First add 1/6 times the first row to the second row

2) Then add 1/3 times the first row to the third row

3) Then add -1/5 times the new second row to the third row.

You will get third row as zero vector.Hence conclusion is that the columns of matrix are lineaerly dependent. and option A is correct.

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