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ps7solutions[1]

# ps7solutions[1] - (continued next page Section 8.16 Markov...

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APMA 2101 Problem Set #7 Sample Solution Set (due 14 April 2009): 40 points total Section 8.8; The Linear Eigenvalue Problem [9 pts., 2 pts. each #5, 12, 23; 1 pt. #27(a), 2 pts. #27(b)] Section 8.9: Powers of Matrices [6 pts., 2 pts. each]

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Section 8.10: Orthogonal Matrices [8 pts., 2 pts. each numbered part or lettered subpart]
Section 8.11: Eigenvalue Approximation [8 pts., 2 pts. per numbered or lettered sub-part] Section 8.12: Diagonalization [4 pts., 2 pts. each]

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Unformatted text preview: (continued next page) Section 8.16: Markov Chains (Discrete Compartmental Models) [3 pts., 1 pt. each lettered sub-part] Historical Research [2 pts., 1 pt. each] (a) The term “determinant” was first introduced by Gauss in Disquisitiones arithmeticae (1801) while discussing quadratic forms. (b) In 1826 Cauchy, in the context of quadratic forms in n variables, found the eigenvalues and gave results on diagonalization of a matrix....
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ps7solutions[1] - (continued next page Section 8.16 Markov...

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