Let 0 ≤ p, q ≤ 1, and define P = [ p q 1 − p − q q 1 − p − q p 1 − p − q p q ] a. For what values of p and q is P a regular stochastic matrix? b. Given that P is regular, find a steady-state vector for P.
Let 0 ≤ p, q ≤ 1, and define P = [ p q 1 − p − q q 1 − p − q p 1 − p − q p q ] a. For what values of p and q is P a regular stochastic matrix? b. Given that P is regular, find a steady-state vector for P.
Solution Summary: The author explains that if the value of p and q is satisfied, the matrix P will be regular stochastic.
a. For what values of p and q is P a regular stochastic matrix?
b. Given that P is regular, find a steady-state vector for P.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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