I changed it to row echelon form and found that the rank is 4
As 4 is not less than the number of vectors (4), it is linearly independent
Is something wrong? The answer says that it is linearly dependent
I changed it to row echelon form and found that the rank is 4
As 4 is not less than the number of vectors (4), it is linearly independent
Is something wrong? The answer says that it is linearly dependent
$$(0,-4,1,1)=(1,0,2,-3)+(1,-2,-1,3)-(2,2,0,-1)$$ You seem to have made a calculation error.