Lab2 - MAT 343 MATLAB ASSIGNMENT#2 Problem 1(a(i n = 1000 A...

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%% MAT 343 MATLAB ASSIGNMENT #2 %% Problem 1 %% % (a) %% % (i) n = 1000; A = floor(10*rand(n)); b = sum(A')'; z = ones(n,1); tic, x = A\b; toc tic, y = inv(A)*b; toc %% % (ii) sum(abs(x-z)) sum(abs(y-z)) %% % (b) n = 2000; A = floor(10*rand(n)); b = sum(A')'; z = ones(n,1); tic, x = A\b; toc tic, y = inv(A)*b; toc sum(abs(x-z)) sum(abs(y-z)) n = 5000; A = floor(10*rand(n)); b = sum(A')'; z = ones(n,1); tic, x = A\b; toc tic, y = inv(A)*b; toc sum(abs(x-z)) sum(abs(y-z)) %% % (c) %% %% Problem 2 n = 100; A = eye(n) - triu(ones(n),1); b = sum(A')'; z = ones(n,1);
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x = A\b; y = inv(A)*b; sum(abs(x - z)) sum(abs(y - z)) %% Problem 3 A = floor(10*rand(6)); b = floor(20*rand(6,1))-10; %% % (a) x = A\b %% % (b) U = rref([A,b]) %% % (c) U(:,7) - x format long U(:,7) - x format short %% % (d) A(:,3) = 4*A(:,1)+5*A(:,2) rref([A b])
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