MATLAB: Iid

Question

I want to form an matrix,please help how to process

1)Set each entry of the matrix to an i.i.d. N(0; 1) value.

2)Orthogonalize the d rows of the matrix using the Gram-Schmidt algorithm

3)Normalize the rows of the matrix to unit length (i.e., important for preserving similarities in the lowdimensional space).

Answer 1

Can't you do:

    A = randn(10,10);
    Q = orth(A');

or even

      Q = qr(A');