Answer whether the matrix

is the steady-state matrix of the given stochastic matrix

Question

Answer whether the matrix
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is the steady-state matrix of the given stochastic matrix
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Quizplus · Accepted Answer

To determine whether a matrix is the steady-state matrix of a given stochastic matrix, we need to check if it satisfies the conditions of being a steady-state matrix. These conditions are:
1) The matrix is a probability vector (i.e., all entries are non-negative and sum up to 1).
2) The matrix is a right eigenvector of the given stochastic matrix with eigenvalue 1.

In this case, the given matrix passes both of these conditions, as we can see by converting the matrix into a probability vector and checking that it is a right eigenvector of the stochastic matrix with eigenvalue 1. Therefore, the answer is A)True.

Answer Whether the Matrix