- #1
peripatein
- 880
- 0
Hi,
How may I determine whether the subspaces U and W are equal to each other?:
K is linearly independent wrt V, defined thus:
K={v1,v2,v3,v4} subset of V
U and W, subspaces of V, are defined thus:
U=Sp(K); W=Sp{v1-v2,v2-v3,v3-v4,v4-v1}
I am not allowed to use equality between dimensions!
I have tried solving:
a1v1+a2v2+a3v3+a4v4=b1(v1-v2)+b2(v2-v3)+b3(v3-v4)+b4(v4-v1)
But I am not sure it got me anywhere :-/.
I hope one of you could assist. Thanks in advance!
How may I determine whether the subspaces U and W are equal to each other?:
K is linearly independent wrt V, defined thus:
K={v1,v2,v3,v4} subset of V
U and W, subspaces of V, are defined thus:
U=Sp(K); W=Sp{v1-v2,v2-v3,v3-v4,v4-v1}
I am not allowed to use equality between dimensions!
I have tried solving:
a1v1+a2v2+a3v3+a4v4=b1(v1-v2)+b2(v2-v3)+b3(v3-v4)+b4(v4-v1)
But I am not sure it got me anywhere :-/.
I hope one of you could assist. Thanks in advance!