% Matlab diary from cs111, Nov 14 2007.
%
% This is what I typed in class.  
%
% Type it into Matlab yourself to
% reproduce the output I showed.

diary on
Q = eye(5)
Q'
Q'*Q
clc
A = randn(5)
[L,U,P]=lu(A)
P' * P
Q = randq(5)
Q'*Q
format long
Q'*Q
Q
eye(5)
A = randn(2)
eigshow(A)
Q
Q = randq(2)
eigshow(Q)
eigshow(Q)
Q = randq(2)
eigshow(Q)
Q = randq(2)
eigshow(Q)
Q = randq(2)
eigshow(Q)
Q
Q'*Q
Q(:,1) = -Q(:,1)
eigshow(Q)
Q(:,1) = -Q(:,1)
eigshow(Q)
Q = randq(5)
x = rand(5,1)
format short
x
norm(x)
norm(Q*x)
norm(x) - norm(Q*x)
norm(x)
norm(Q*x)
norm(x,1)
norm(Q*x,1)
A = randn(5,3)
[Q,R] = qr(A)
Q'*Q
clc
X = A
X
clc
A
qrsteps(A)
A
qrsteps(A)
edit randq
clc
A = randn(5)
[Q,R] = qr(A)
diary off