how can I create 10 different gaussian random vectors (X) and sum them, after their square elevation (Y = X1^2 + X2^2 + ... X10^2)?

    if true
      % code
  % be Y = X1^2 + X2^2 + ... XM^2

N = 10000;
M = 10;
Y=zeros(N,1);
for j=1:length(M)
    X=(randn(N,1));
    Y=Y(j)+X.^2;
end
  end

Answer 1

[Image Analyst]

Try this:

N = 10000;
M = 10;
X = randn(N, M);
XSquared = X .^ 2;
% Perhaps this is wanted:
Y = sum(XSquared, 1)
% Or maybe this is wanted:
Y = sum(XSquared(:))