T $=[0\mathrm{.}750\mathrm{.}330\mathrm{.}10$;

$0\mathrm{.}100\mathrm{.}550\mathrm{.}02$;

$0\mathrm{.}150\mathrm{.}120\mathrm{.}88]$;

x$0=[0\mathrm{.}440\mathrm{.}450\mathrm{.}11]$;

$[$V$,$D$]=$ eig$($T$)$;

disp$(\text{'}$D $=\text{'})$;

disp$($D$)$;

disp$(\text{'}\text{'})$

disp$(\text{'}$M$^$k $=$ V$*($D$.^$k$)*$inv$($V$)\text{'})$

disp$(\text{'}$D$.^$k $=$ each element raised to power of k$\text{'})$;

disp$(\text{'}$As k $->$ Inf, eigen values in D$,$ other than $1$ goes to zero.$\text{'})$;

D $=$ zeros$(3)$; D$(1,1)=1$;

disp$(\text{'}$As k $->$ Inf, D $=\text{'})$

disp$($D$)$;

disp$(\text{'}\text{'})$

disp$(\text{'}$V$*$D$*$inv$($V$)=\text{'})$

M$\_$Inf $=$ V$*$D$/$V;

disp$($M$\_$Inf$)$;

disp$(\text{'}\text{'})$

disp$(\text{'}$Steady State Vector $=\text{'})$;

ssv $=[0\mathrm{.}35320\mathrm{.}10270\mathrm{.}5441]\text{'}$;

disp$($ssv$)$;