Question: In general, points in a convex hull can be expressed as a convex combination in more than one way. Illustrate this by considering the convex

In general, points in a convex hull can be expressed as a convex combination in more than one way. Illustrate this by considering the convex hull cx{w1,w2,w3,w4} where w1=(0,0),w2=(1,0),w3=(1,1) and w4=(0,1). Give two explicit and distinct convex combinations for a suitable point of your choice in this convex hull. (Hint: draw a diagram of the convex hull, and consider diagonal line segments.)
 In general, points in a convex hull can be expressed as

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