Homework 1 corrections

questions 1, step 1, correction of a typo

$f_n(a)=\sum _{j=0}^n(\genfrac{}{}{0ex}{}{2n}{j})a^{2n-j}(1-a{)}^j=1-\sum _{j=n+1}^{2n}(\genfrac{}{}{0ex}{}{2n}{j})a^{2n-j}(1-a{)}^j$

questions 3, correction of a typo

$\left(\begin{array}{cc}{e}_1& 0\\ 0& 0\end{array}\right)=g\left(\begin{array}{cc}e& 0\\ 0& 0\end{array}\right)g^{-1}$