There are two 12-hour clocks, Clock A and Clock B. One clock is broken and it runs at a different speed of the normal clock. These clocks, normal and broken, can be described by the recurrence relations: aN=(aN-1+1) mod 12 for Clock A and bN=(bN-1+5) mod 12 for Clock B. Suppose that both clocks show the time 1:00 at N=0. What is the value of N, when both clocks show the same time again?
There are two 12-hour clocks, Clock A and Clock B. One clock is broken and it runs at a different speed of the normal clock. These clocks, normal and broken, can be described by the recurrence relations: aN=(aN-1+1) mod 12 for Clock A and bN=(bN-1+5) mod 12 for Clock B. Suppose that both clocks show the time 1:00 at N=0. What is the value of N, when both clocks show the same time again?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 56EQ
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There are two 12-hour clocks, Clock A and Clock B. One clock is broken and it runs at a different speed of the normal clock. These clocks, normal and broken, can be described by the recurrence relations:
aN=(aN-1+1) mod 12 for Clock A and
bN=(bN-1+5) mod 12 for Clock B.
Suppose that both clocks show the time 1:00 at N=0.
What is the value of N, when both clocks show the same time again?
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