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(Solved): (P5) Let W_(1)={uinR^(5):u_(1)+u_(3)+u_(4)=0,2u_(1)+2u_(2)+u_(5)=0} and W_(2)={(uinR^(5):u_(1)+u_(5 ...
(P5) Let
W_(1)={uinR^(5):u_(1)+u_(3)+u_(4)=0,2u_(1)+2u_(2)+u_(5)=0}and
W_(2)={(uinR^(5):u_(1)+u_(5)=):}
{:0,u_(2)=u_(3)=u_(4)}. These are subspaces of
R^(n)(you do not have to prove this). (a) Find a basis for
W_(1)\cap W_(2). (Justify briefly your reasoning) (b) Extend your basis from part (a) to a basis for
W_(1). (Justify briefly your reasoning)
