MATH-205 Midterm: Bates MATH 205 100512ross205exam
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Name: suppose that t : rn rm is a transformation. 3 x1 x2 x2 + 4x3 x1 x2 x3. The codomain is . (3b) find the image under t of the vector. 2 (3c) determine if the vector u = But if u is not in the range, explain why not. Show any rref matrices used in making your conclusions. (3d) determine if the vector v = 6 is in the range of t . If it is, nd in parametric vector form all x for which. T (x) = v. but if v is not in the range, explain why not. Show any rref matrices used in making your conclusions. Name: suppose that s = {v1, v2, . , vk} is a set of vectors that belong to rj for some j. , c5} be the set of column vectors of m . (6a) use the fact to nd conditions on b1, .
