Question

compute the inverse of the following matrix (1 -3 5 10 4 7 ​

Answer 1

Answer:

Yes see below

Step-by-step explanation:

close all;

clear all;

clc;

format short;

rng(0,'twister');

size = 5000;

temp = rand(size);

A = temp*temp'; % A is positive definite

tic

B = inv(A);

fprintf('Time for inv(A)   = %.3f seconds.\n',toc);

err1 = max(max(abs(A*B - eye(size))));

err2 = max(max(abs(B*A - eye(size))));

err = (err1+err2)/2.0;

fprintf('Error for inv(A)  = %e\n',err);

tic

B = A\eye(size);

fprintf('Time for A\\eye    = %.3f seconds.\n',toc);

err1 = max(max(abs(A*B - eye(size))));

err2 = max(max(abs(B*A - eye(size))));

err = (err1+err2)/2.0;

fprintf('Error for A\\eye   = %e\n',err);

tic

L = chol(A,'lower');

U = L\eye(size);

B = L'\U;

fprintf('Time for chol(A)  = %.3f seconds.\n',toc);

err1 = max(max(abs(A*B - eye(size))));

err2 = max(max(abs(B*A - eye(size))));

err = (err1+err2)/2.0;

fprintf('Error for chol(A) = %e\n',err)

Peace out.!

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