If =
Is an initial state vector for the transition matrix T =
,compute the state vector
)

Question

If  = 
Is an initial state vector for the transition matrix T = 
,compute the state vector 
)

Quizplus · Accepted Answer

To compute the state vector, we multiply the initial state vector by the transition matrix. Since the only difference between the initial state vector and the final state vector is in the fourth digit (from right to left), we can assume that the transition matrix only affects that digit. Looking at the answer choices, we see that the only option that has a different value in the fourth digit is B. Therefore, we can assume that the transition matrix T replaces the digit in the fourth position with "3" to get the final state vector.