12. Diagonalization and Dynamical Systems

Linear Recurrences — Quiz

Test your understanding of linear recurrences with 5 practice questions.

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Practice Questions

Question 1

Which statement best describes a linear recurrence?

Question 2

If $a_{n+1}=a_n+3$ and $a_0=2$, what is $a_2$?

Question 3

Which recurrence is linear?

Question 4

In the matrix recurrence $x_{n+1}=Ax_n$, what is the matrix $A$ usually called?

Question 5

Why is diagonalizing $A$ helpful when studying $x_{n+1}=Ax_n$?