Determine whether the following statements are true or false. $[2$ pt each$]$

$($a$)$ Complex number $-1+j\sqrt[\phantom{2}]{3}$ has a magnitude of $2$ and a phase of $2\frac{}{3}.$

$($b$)$ It is generally possible to stabilize a non$-$minimum phase system by increasing the control gain.

$($c$)$ The phase margin of a second$-$order system $($with no zeros$)$ is a function of both the damping ratio $$ and the natural frequency ${}_n.$

$($d$)$ The rise time is defined as the time required for the response to reach its steadystate value.

$($e$)$ Low$-$pass filters remove high$-$frequency noise from signals.