MATH-0070 Midterm: MATH70 exam2 Math70Exam2S16
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All calculators, cell phones, or other electronic devices must be turned o and put away during the exam. Unless otherwise stated, you must show all work to receive full credit. With your signature you are pledging that you have neither given nor received assistance on the exam. Students found violating this pledge will receive an f in the course. 1: (4 pts) let v be a vector space and let b = {b1, b2, . , bn} be an indexed set of vectors in v. Complete the following: b is a basis for v if: (14 pts) let v and w be vector spaces. (a) let t : v w be a transformation. Give the conditions from the de nition for t to be a linear transformation. 2 (b) de ne the transformation t : p2 r2 by t (p(t)) ="p(2) p(0)# . (i) use your de nition from part (a) to prove t is a linear transformation.
