The first three vectors in the following statement are linearly independent. I put this statement into Wolfram Alpha and it tells the 4 vector set is linearly independent
linear independence of {(1,2,0,2), (1,1,1,0), (2,0,1,3),(1,1,1,1)}
However when I used them as columns of a matrix and row reduced it I found they were linearly dependent.
I then used a completely random number for the 4th vector -
linear independence of {(1,2,0,2), (1,1,1,0), (2,0,1,3),(1,20,156,133)}
and it tells me this is linearly independent too. So is Wolfram Alpha wrong?