Answer: [M] Exercises 7–12 require MATLAB or other

Chapter 5, Problem 9E

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QUESTION:

Problem 9E

[M] Exercises 7–12 require MATLAB or other computational aid. In Exercises 7 and 8, use the power method with the x0 given. List  In Exercises 9 and 10,

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QUESTION:

Problem 9E

[M] Exercises 7–12 require MATLAB or other computational aid. In Exercises 7 and 8, use the power method with the x0 given. List  In Exercises 9 and 10,

ANSWER:

Solution 9E

Step 1 of 3

The objective is to find the list of  using power method for the following matrix:

Use MATLAB to find the list.

Code for MATLAB:

function[x,lambda]=powermat(A,x0,nit) x = x0; for n=1:nit xnew = A*x; lambda = norm(xnew,inf)/norm(x,inf); fprintf('n = %4d lambda = %g x = %g %g %g \n', n, lambda, x');

x=xnew; end x=x/norm(x);%normalise x fprintf('n = %4d          normalised          x = %g %g %g\n',        n,         x');

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