1)Suppose that vectors v1,v2,v3 are such that −8v1−8v2+4v3=0. Are the three vectors linearly independent?
2)Suppose that vectors v1,v2,v3 are such that −8v1−8v2=4v3. Are the three vectors linearly independent?
3)Suppose that vectors v1,v2,v3,v4 are such that −8v1−8v2=4v3+2v4. Are the four vectors linearly independent?
4)Suppose that vectors v1,v2,v3,v4 are such that −8v1=4v3+2v4. Are the four vectors linearly independent?
5)Suppose that vectors v1,v2,v3,v4 are such that −8v1=4v4. Are the four vectors linearly independent?

Question

1)Suppose that vectors v1,v2,v3 are such that −8v1−8v2+4v3=0. Are the three vectors linearly independent?
2)Suppose that vectors v1,v2,v3 are such that −8v1−8v2=4v3. Are the three vectors linearly independent? 
3)Suppose that vectors v1,v2,v3,v4 are such that −8v1−8v2=4v3+2v4. Are the four vectors linearly independent? 
4)Suppose that vectors v1,v2,v3,v4 are such that −8v1=4v3+2v4. Are the four vectors linearly independent?
5)Suppose that vectors v1,v2,v3,v4 are such that −8v1=4v4. Are the four vectors linearly independent?

isbella · Answer

6)Suppose that vectors v1,v2,v3,v4 are such that −8v1−8v2+4v3=−8v2+4v3+2v4. Are the four vectors linearly independent?

isbella · Answer

1,6,3, are linearly independent?

anonymous · Answer

all are linearly dependent. if av1+bv2+cv3+...=0, then the vectors are dependent