d the closest point to y in the subspace W spanned by V₁ and V₂ 2 0-8-0 2 2 5 Da Ob Oc Od -4/5 2/5 -1/5 1/5 b. -2 3 -4/5 2/5 -1/5 2/5 C. -4/5 3/5 -1/5 2/5 d. -4/5 -2/5 1/5 2/5

U₁ = 4 #0-0 -2,1₂ = and и3 = -32 Note that u₁, ₂ and 3 are orthogonal. V = Given v = 4 -0₁ 2 find the coordinates for v in the subspace Wspanned by 4 4 4 U₁ + -8 -8 U₂ +1 U3|

2 Given = 1 6 34 9 8 -7 5 " to in the subspace W spanned by find the closest point 2 -6 目 1 and

Consider the subspaces U = span{[401],[4 1 -4] 3 3], [-54 -2]} W = span{ [-5 3

4 -8 1- -1 Given ✓ = 5 2 5 40-8 and 2 -3 24 find the closest point to in the subspace W spanned by