e-hm-lina.2011t - Linear Alg MAS4105 Optional Project-E...

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Unformatted text preview: Linear Alg MAS4105 Optional Project-E Prof. JLF King 5Dec2011 Due: By 10AM , on Monday, 12Dec2011. E1: Short answer: Show no work. Please write DNE in a blank if the described object does not exist or if the indicated operation cannot be performed. a Markov digraph has states A,B . The transition-probs are: P ( A A ) := s , P ( A B ) := c , P ( B A ) := 1, where s,c [ , 1 ] with s + c = 1. With M c the M.M., the ( unique ) probvec v c satisfying M c v c = v c is v c := ..... , ..... t , ITOf c . Whence M.process X X 1 ... with Distr( X )= v c , and cond.-distr Distr( X n +1 | X n ) given by M c . The prob that X X 1 X 2 X 3 = AABA is ............................ . b In R 4 , let L 1 be the line passing through the origin and the point Q := (1 , 2 , 3 , 4). Let L 2 be the line t 7 (2 ,- 1 , , 1)- t (5 , , 1 , 2). The ( orthogonal ) dist. between lines L 1 and L 2 is ........................................
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This note was uploaded on 01/26/2012 for the course MAS 4105 taught by Professor Rudyak during the Fall '09 term at University of Florida.

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