Science:Math Exam Resources/Courses/MATH307/December 2010/Question 05 (a)

MATH307 December 2010
Other MATH307 Exams

Question 05 (a)

Define a sequence x0, x1, ... by the initial conditions x0 = a, x1 = b and x2 = c together with the recursion relation

${\displaystyle \displaystyle x_{n+3}=x_{n+2}+x_{n+1}+x_{n}}$

for n = 0, 1, 2, ...

(a) Rewrite this recursion in matrix form Xn+1 = AXn for n = 0, 1, 2, ... for a sequence Xn of vectors, with an initial vector X0 and some matrix A.

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