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Question: station t8 staion to moup week five working days in...

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station t8 staion to moup week (five working days)? In the long run, how many bike parking docks (停車 ) should be built at each station? 4. Suppose A is symmetric (nxn) with rank r-1 and one eigenvalue equal to 5. Let the general solution to du =-Au di (Notice the minus sign!) be written as ud-Mu0). (a) (5%) Write down an expression for M(1) in terms ofA and 1. (b) (5%) Is it true that for all t, trace(Mir)edet(Mit)? Explain your answer by finding all the eigenvalues of M) (c) (596) Can u(t) blow up when ㈠oo? Explain. (d) (5%) Can u(t) approach 0 when ㈠e? Explain
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