Write a function in python that takes a set of vectors and returns the Gram-Schmidt orthonormal basis. Use th following guide, NOT tensorflow:

Computing it using Gram-Schmidt Define the projection proj,a u. then uo u1 l1 u2 Lu2 uk e , ProJu, ak, uk 7-0 So we can express the columns of A over the newly computed orthonormal basis j-0 where (ei, ai Letting Q-ei and eo, an-1 e1,an- e1,a... un-1, an-1 .. . Computing it using Gram-Schmidt Define the projection proj,a u. then uo u1 l1 u2 Lu2 uk e , ProJu, ak, uk 7-0 So we can express the columns of A over the newly computed orthonormal basis j-0 where (ei, ai Letting Q-ei and eo, an-1 e1,an- e1,a... un-1, an-1