Which of the following sets of vectors are linearly independ

Which of the following sets of vectors are linearly independent? [-7 -9], [8 2], [5 6] [4 1 6], [-1 -3 5] [9 -2 0], [7 3 0], [-4 -6, 0] [5 6], [-5 -6] [1 7], [9 -1] [-8 -5 -7], [-9 8 2], [-17 3 -5]

Solution

The set of vectors in B are linearly independent, since no one can be obtained from the other vector

The set of vectors in D is linearly dependent, since one vector is the -1*(other vector)

The set of vectors in E are linearly independent, since other vector can\'t be obtained from the other vector

The set F is linearly dependent, since v1+v2=v3

The set A is linearly dependent

The set C is linearly independent

Hence the correct answers are B.C and E