Find the steady-state vector associated with the transition matrix . Round all numerical values in your answer to two decimal places.
B)
D)
E)

Question

Find the steady-state vector associated with the transition matrix  . Round all numerical values in your answer to two decimal places. ​
B) ​ 
D) ​ 
E) ​

Quizplus · Accepted Answer

To find the steady-state vector, we need to solve the equation Mx = x, where M is the transition matrix and x is the steady-state vector. This means that we are looking for a vector x that, when multiplied by M, gives us the same vector x. In other words, x is an eigenvector of M associated with the eigenvalue 1. 
Using matrix operations to solve this equation, we get:
(M-I)x = 0, where I is the identity matrix.
The null space of (M-I) gives us the eigenvector x associated with eigenvalue 1. 
Using row reduction or matrix inversion, we can find that the null space of (M-I) is:
[0.13; 0.23; 0.43; 0.21]
Rounding each entry to two decimal places, we get the steady-state vector:
[0.13; 0.23; 0.43; 0.21]. 
Therefore, the correct answer is C.

Find the Steady-State Vector Associated with the Transition Matrix