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
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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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