$7\mathrm{.}15$ Consider the two state$-$space equations

x$($t$)=[1210]$x$($t$)+[10]$u$($t$),$y$($t$)=[22]$x$($t$)\backslash$dot$\{$x$\}($t$)=\backslash$begin$\{$bmatrix$\}1$ & $2\backslash \backslash 1$ & $0\backslash$end$\{$bmatrix$\}$ x$($t$)+\backslash$begin$\{$bmatrix$\}1\backslash \backslash 0\backslash$end$\{$bmatrix$\}$ u$($t$),\backslash$quad y$($t$)=[2\backslash$quad $2]$ x$($t$)$x$($t$)=[1120]$x$($t$)+[10]$u$($t$),$y$($t$)=[22]$x$($t$)$

and

x$($t$)=[3210]$x$($t$)+[10]$u$($t$),$y$($t$)=[22]$x$($t$)\backslash$dot$\{$x$\}($t$)=\backslash$begin$\{$bmatrix$\}3$ & $-2\backslash \backslash 1$ & $0\backslash$end$\{$bmatrix$\}$ x$($t$)+\backslash$begin$\{$bmatrix$\}1\backslash \backslash 0\backslash$end$\{$bmatrix$\}$ u$($t$),\backslash$quad y$($t$)=[2\backslash$quad $-2]$ x$($t$)$x$($t$)=[3120]$x$($t$)+[10]$u$($t$),$y$($t$)=[22]$x$($t$)$

Are they minimal realizations? Are they zero$-$state equivalent? Are they algebraically equivalent?