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function Z = projectData(X, U, K)
% Initalize
Z = zeros(size(X, 1), K);
% index to create Ureduce
Ureduce = U(:, 1:K)
for i=1:size(Z,1)
% say X is all examples at dimension n (m, n)
% x is a single example (1, n)
x = X(i, :);
% we multiple the example by Ureduce to reduce dimensionality
% z is (1, n) * (n, K) = (1, K)
z = (X(i, :) * Ureduce)
% set z in the Z matrix
Z(i, :) = z;
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