Recovering the Householder Vector 1 point Given the first column q of a Householder matrix Q = 1-2uuT, recover u. INPUT n: Householder matrix dimension q numpy array of shape (n,) corresponding to first column of 0 u: numpy array of shape ( n, ) corresponding to normalized Householder vector u Problem set-up code (cco view) This is the code that is used to set up the problem and produce test data for your submission. It is reproduced here for your information, or if you would like to run your submission outside of. You should not copy/paste this code into the code box below. This code is run automatically behind the scenes' before your submitted code. import numpy import numpy.linalg from numpy import random Anumpy. random.random( (10,1)) [0,R] | numpy.linalg.gr(A) = = Q. reshape( (10' ) ) = q. shape [0] q n