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n=3000; p=6; A=rand(n,n); B=rand(n,p) % PART 1: % FIND x for the p columns of B

ID: 2961617 • Letter: N

Question

n=3000;

p=6;

A=rand(n,n);

B=rand(n,p)

% PART 1:

% FIND x for the p columns of B such that Ax=b using LU decomposition,

% where b=B[1:end,i], for i=1,...,p.

% (5pt)

% hint: you can use the Matlab function [L,U,P] = lu(A).

% PART 2:

% Plot the p solutions in subplot such that the first quadrant holds the

% results for the first set of solution and the last quadrant hold the

% results for the last set of solutions.

% (5pt)

% hint use the Matlab function subplot or type "help subplot" in the

% command window to learn more ...


Explanation / Answer

n=3000;

p=6;

A=rand(n,n);

B=rand(n,p);

for i=1:p

b(i)=B(i)

end

[A,x]=lu(b)