Please work out in detail -25 15 -4 24 We want to determine if [u, v, w is linea
ID: 3114438 • Letter: P
Question
Please work out in detail
-25 15 -4 24 We want to determine if [u, v, w is linearly independent. To do that we write the vectors as columns of a matrix A and row reduce that matrix To check this we add We then add We then add We conclude that times the first row to the second. times the first row to the third. times the new second row to the new third row. OA. The set [u, v, w} is linearly dependent. O B. The set {u, v, w] is linearly independent. C. We cannot tell if the set [u, v, w] is linearly independent or not.Explanation / Answer
i)we add 4/5 times the first row to the second
new second row will be (0 3 -3)
ii)we add -4/5 times the first row to the third row
new third row will be ( 0 -4 4)
iii)we add -4/3 times the new second row to new third row
then new thirs row becomes (0 0 0)
As, the third row is zero which implies the three vectors u,v,w are linearly dependent
Option A is correct