MATH 312 Midterm: MATH 312 UPenn 312S13Exam 1
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Part a has shorter 5 questions, (10 points each so total. 50 points) while part b had 4 problems (15 points each, so total is 60 points). Closed book, no calculators or computers but you may use one 3 5 card with notes on both sides. Part a: five short answer questions (10 points each, so 50 points). [you are not being asked to solve this equation. : the set of polynomials p(x) of degree at most 2 with p (1) = 0. Let s be the linear space of 2 2 matrices a = (cid:0) a b c d(cid:1) with 2a + d = 0. Find a basis and compute the dimension of s . Let s and t be linear spaces and l : s t be a linear map. Say ~v1 and ~v2 are (distinct!) solutions of the equations l~x = ~y1 while ~w is a solution of l~x = ~y2 .
