projectData.m

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;
end

end