MATH 240 Final: MATH240 MATH232 Fall2007 Final for MATH240

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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: good luck. Final, math 232, fall 2007: let a be the matrix. 0 1 3 (a) (6 points) compute the characteristic polynomial of a. Your nal answer should be of the form ax3 + bx2 + cx + d. (b) (2 points) use part a. to decide whether a is invertible or not. Page 3 of 18: (9 points) assuming that all the ows are nonnegative in the gure below, what is the largest. Final, math 232, fall 2007: true or false. Final, math 232, fall 2007 (a) (3 points) (b) (3 points) (c) (3 points) W2 = x y z w x y z w x y z w.