$4$ Logistic Regression $[20$ points$]$Suppose we have three positive examples x$1=(1,0,0),$ x$2=(0,0,1)$ and x$3=(0,1,0)$ and$$three negative examples x$4=(1,0,0),$ x$5=(0,1,0)$ and x$6=(0,0,1).$ Apply the standard$$gradient ascent method to train a logistic regression classifier $($without regularization terms$).$ Initialize$$the weight vector with two different values and set w$00=0($e$.$g$.$ w$0=(0,0,0,0),$w$0=(0,0,1,0)).$ Would the final weight vector $($w$)$ be the same for the two different initial values?$$What are the values? Please explain your answer in detail. You may assume the learning rate to be$$a positive real constant $\backslash$eta $.$