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5 Let? = 1 And 7 = _1The Goal Of This Question L-1 Is To Give And Justify A Drawing Of The Set Of C

5 Let? = 1 and 7 = _1The goal of this question L-1 is to give and justify a drawing of the set of convex linear combinations of ã and b. (a) Let A be the set of all non-negative linear com- binations of a and b. Draw A. (b) Let l be the set {aã + Bb : a,BER and a + B = 1} Rewrite l in set-builder notation using only a single variable t. (Hint: Lett be a.) (c) Justify why l is a line, and write l in vector form. (d) Draw both A and l on the same grid. On a sep- arate grid, draw Ane. (e) Write the Anl in set builder notation How does Anl relate to convex linear combinations? (f) Determine the endpoints of Anl.