Question: Q3. Consider the H hyperplane in 3-dimension: H = {w = (x,y,z) R3: (4 3 2)w = 5} a) Let w1,W2 H, 1 [0,1] and

Q3. Consider the H hyperplane in 3-dimension: H = {w =

Q3. Consider the H hyperplane in 3-dimension: H = {w = (x,y,z) R3: (4 3 2)"w = 5} a) Let w1,W2 H, 1 [0,1] and wz = lw+ (1 - 1)w . Then show that wz EH. Where w1 = (x1,71,22), W2 = (X2, Yz, 22), W3 = (X3, Y3, 23) ER3. (20P) b) What is the meaning of W3 H explain in one sentence (5P)

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