Could anyone give me a hint for these two
$1$ Let $x$ be a non-zero vector in $\mathbb{C}^n$ and $y$ be any vector in $\mathbb{C}^n$ then show that there exist a symmetric matrix $B$ such that $Bx=y$
$2$ Every symmetric non-singular matrix over $\mathbb{C}$ can be written as $P^tP$
thank you.