Consider the dynamical system Vk+1 = AVk where 0 10 001 -40-27 Find a formula in terms of k for the (1,1)-entry xk of Vk. Be sure to include parentheses where necessary, e.g. to distinguish 1/(2k) from 1/2k. xk = 0 Vo= 0 and A =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
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Consider the dynamical system V₁+1 = AVK where
10
0
0 0 1
-40 -2 7
Find a formula in terms of k for the (1,1)-entry xk of Vk. Be sure to include parentheses where necessary, e.g. to distinguish 1/(2k) from 1/2k.
0
Vo= 0 and A =
7
xk = 0
Transcribed Image Text:Consider the dynamical system V₁+1 = AVK where 10 0 0 0 1 -40 -2 7 Find a formula in terms of k for the (1,1)-entry xk of Vk. Be sure to include parentheses where necessary, e.g. to distinguish 1/(2k) from 1/2k. 0 Vo= 0 and A = 7 xk = 0
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