Use MATLAB to carry out the following multiplication of polynomials: x(x - 1.7)

Question

Use MATLAB to carry out the following multiplication of polynomials: x(x - 1.7) (x + 0.5) (x - 0.7) (x + 1.5) The reciprocal Fibonacci constant psi is defined by the infinite sum: psi = sigma^infimity_n = 1 1/F_n where F_n are the Fibonacci numbers 1, 1, 2, 3, 5, 8, 13, .... Each element in this sequence of numbers is the sum of the previous two. Start by setting the first two elements equal to 1, then F_n = F_n - 1 + F_n - 2. Write a MATLAB program in a script file that calculates psi for a given n. Execute the program for n = 10, 50, and 100.

Explanation / Answer

2.73)
p1=[1 0];

p2=[1 -1.7];

p3=[1 0.5];

p4=[1 -0.7];

p5=[1 1.5];

p=conv(conv(p1,p2),conv(p3,p4));

matlab output:

p=1.0000 -0.4000 -2.8600 0.5800 0.8925 0

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