generarting vector or standard normal in matlab

iI want to generate random variables z_i, where z_ is a standard normal varible (i,e. with mean zero and variance 1) and if I have a vector z=[z_1 z_2..........z_n] ' then theorectically zz^T should give an identity matrix. how can I generate z in matlab so that z *z^T is an identity matrix. where z^t is transpose of z

Answer 1

[rakshit gupta]

One possible way to generate a random vector z in MATLAB such that z * z.' is an identity matrix is to use the randn function to generate a vector with normally distributed random variables, and then normalize it so that its length is equal to 1.

You can refer to randn and norm for normalizing the vector.