MATH 551 Final: MATH 551 KSU Sample2Final f06
15 Feb 2019
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Problem 1 (30 points) a web of 5 pages is described by a directed graph whose matrix is given by. Do the following (10 points each): draw the web and its backlinks, find the importance score matrix b for the web, let m = 0. 85 b + 0. 15 1/5 ones(5) and suppose that matlab gives. 0. 5224 0. 2040 + 0. 0983i 0. 2040 0. 0983i 0. 5964. Find the importance score vector x = [x1, x2, x3, x4, x5] . Problem 2 (25 points) determine whether the following polynomials are linearly indepen- dent: p1 = 1 + 2t2, p2 = 1 2t2, and p3 = 1 + t + t2 (this is problem 27, section 7. 2) B a (cid:21) such that a, b r(cid:27) (this is problem 25, section 7. 1: v = (cid:26)(cid:20) a, the set sl consisting of all 2 2 invertible matrices. (this is problem 16, section 7. 1)
