18 . The matrix
�0.73 0.31�
T � � � is a transition matrix for a Markov chain . �0.27 0.69�
( a ) Find the values of �
1 and �
2
, the eigenvalues of T , where �1 � �2.
�0.4�
Let v
0
� � � . �0.6�
( b ) Find v
10
, the state probability vector after ten transitions .
( c ) Find v , the steady state probability vector for this Markov chain .
[ 3 ]
[ 2 ]
[ 2 ]
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