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Consider the Fibonacci-like sequence defined by Fo = 0, F¡ = 1, F2 = 2, F,+3 = F, + F,+1 + F,+2 for all r > 3. et up code (using if/elif/else or while as necessary) that will compute this sequence up to the nth term F, . Show that your code works t 12. (See Lab 0 for some notes on control flow/code.) Vork out a matrix equation that encodes this sequence in vector form for F,+1 lo this in Python.) Input as A the resulting matrix. F,43]" in terms of [ F, F+1 F,+2]' . (You don't ne F42 ind a diagonal matrix D that is similar to A. What is the matrix P that satisfies A = PDP-l? (Recall LA.eig .) Jse the result of (c) to calculate F12 directly in terms of Fo, F1, F2. You may want to use LA.matrix_power(A,n).

Consider the Fibonacci-like sequence defined by Fo = 0, F¡ = 1, F2 = 2, F,+3 = F, + F,+1 + F,+2 for all r > 3. et up code (using if/elif/else or while as necessary) that will compute this sequence up to the nth term F, . Show that your code works t 12. (See Lab 0 for some notes on control flow/code.) Vork out a matrix equation that encodes this sequence in vector form for F,+1 lo this in Python.) Input as A the resulting matrix. F,43]" in terms of [ F, F+1 F,+2]' . (You don't ne F42 ind a diagonal matrix D that is similar to A. What is the matrix P that satisfies A = PDP-l? (Recall LA.eig .) Jse the result of (c) to calculate F12 directly in terms of Fo, F1, F2. You may want to use LA.matrix_power(A,n).

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Answers in python 3 please

Q1) Consider the Fibonacci-like sequence defined by Fo = 0, F = 1, F, = 2, F,43 = F, + F41 + F,42 for all r > 3. a) Set up code (using if/elif/else or while as necessary) that will compute this sequence up to the nth term F,. Show that your code works for n = 12. (See Lab 0 for some notes on control flow/code.) in terms of F, F+1 F+2]. You don't need b) Work out a matrix equation that encodes this sequence in vector form for F+1 F42 F43 to do this in Python.) Input as A the resulting matrix. c) Find a diagonal matrix D that is similar to A. What is the matrix P that satisfies A = PDP-1? (Recall LA.eig .) d) Use the result of (c) to calculate F12 directly in terms of Fo, F1, F. You may want to use LA.matrix_power(A,n).
Transcribed Image Text:Q1) Consider the Fibonacci-like sequence defined by Fo = 0, F = 1, F, = 2, F,43 = F, + F41 + F,42 for all r > 3. a) Set up code (using if/elif/else or while as necessary) that will compute this sequence up to the nth term F,. Show that your code works for n = 12. (See Lab 0 for some notes on control flow/code.) in terms of F, F+1 F+2]. You don't need b) Work out a matrix equation that encodes this sequence in vector form for F+1 F42 F43 to do this in Python.) Input as A the resulting matrix. c) Find a diagonal matrix D that is similar to A. What is the matrix P that satisfies A = PDP-1? (Recall LA.eig .) d) Use the result of (c) to calculate F12 directly in terms of Fo, F1, F. You may want to use LA.matrix_power(A,n).
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