Suppose that G is a function from 11112 to R3, and that we know its derivative matrix atthree points: e 513. 7r E 5 1 DG(1,1)= e2 e , DG(2,0} = 2 1...

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II. — Suppose that G is a function from 11112 to R3, and that we know its derivative matrix atthree points:e 513. 7r E 5 1DG(1,—1)= e2 —e , DG(2,0} = —2 —1 , and DG{3,3) = 2 —3 .1 1 3w «2 1 4 LethethefuncfionfromlR3 to R2 givenby F(m,y, z) = (.1:2 + y — (z + 1J3, 243W2 — 932:}. (a) Find the derivative matrix DF(a:, y, z}.