Let v1 = 2
4
12
26
2
3
5,v2 =
2
4
0
5
1
3
5 and v3 =
2
4
3
4
0
3
5,
i ) Is the set fv2; v3g linearly independent or not? Give reason.
ii ) Does v1 lie in Spanfv2; v3g? Prove.
iii ) The set fv1; v2; v3g is linearly dependent. Explain why.
iv ) Are the sets fv1; v2g and fv1; v3g also linearly dependent?