MATH 240 Final: MATH240 summer2001finalmath232

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No credit will be given for just writing down the answer: if the answer space provided is not su cient, write your answer on the back of the previous page. Clearly mark the question number: all the best. Page 2 of 7: (3 points) compute the determinant of the following matrix. 2. (a) (2 points) let c be a real number. Give a formula for a 1 that is valid for those values of c. Page 4 of 7: consider the matrix. 1 2 1 5 (a) (3 points) find a basis for nul(a) Answer (b) (3 points) find a basis for col(a) Page 5 of 7: we consider the subset. Answer (b) (3 points) prove that h is a subspace of p3. Answer (c) (3 points) give a basis of h. explain why your answer is correct. Page 6 of 7: consider the subspace. H = (a) (3 points) show that b = .