Answered: The following is a Matlab code. I am…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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The following is a Matlab code. I am getting too big of an error. The max error should be less than 1*10^-3. I think its because of the backslash operator I used here, X = A \ b. I can't do X = A * inv(b) because b is not a square matrix. How should I reduce the error? Also, I need to do this without Symbolic computation.

% Problem 1
% Step 1: Compute the right-hand side vector b
n = 20;
Xo = ones(n, 1); % Column vector with ones in each component
A = zeros(n); % Initialize the matrix A

for i = 1:n
for j = 1:n
A(i, j) = 1 / (i + j - 1);
end
end

b = A * Xo;

% Step 2: Solve the system AX = b numerically
X = A \ b; % Backslash operator for numerical solution

% Step 3: Compute the error vector E and find the maximum component
E = X - Xo;
E_inf = max(abs(E));

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