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X′ y′ z′ = U 1 2 3 , where U is the transition matrix from the standard basis e1,e2,e3 to the basis u1,u2,u3 The transition matrix from u1,u2,u3 to e1,e2,e3 is U0 = (u1,u2,u3) = 1 0 1 1 1 1 0 1 1 The transition matrix from e1,e2,e3 to u1,u2,u3 is the inverse matrix U = U−1 0PART 1 MODULE 2 SET INTERSECTION, SET UNION, SET COMPLEMENT SUMMARY The intersection of two sets denotes the elements that the sets have in common, or the "overlap" of the two sets S ∩ T = {xx∈ S and x∈ T} The union of two sets merges the two sets into one "larger" set S ∪ T = {xx ∈ S or x ∈ T}1, if x ≤ a A simple computation yields E(X) = ab 2 Var(X) = (b−a)2 12 M(s) = esb −esa s(b−a) When a = 0 and b = 1, this is known as the uniform distribution over the unit interval, f(x) = 1 1 Excel Formatting Inserting Symbols F e b u x o s t a t