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- Find the 2-step transition matrix.In a survey, it was found that 72%of the population of a certain urban area lived in single-family dwellings and 28% in multiple housing. One year later, of those who had been living in single-family dwellings, 89%still did so, but 11% had moved to multiple-family dwellings. Of those in multiple housing, 94%were still living in that type of housing, while 6%had moved to single-family housing. Assume that these trends continue. (a) Write a transition matrix using this information. Set it up so that the first row and first column represent single-family dwellings and the second row and second column represent multiple housing.Find transition matrix from B to B’ B={(1,1,-1),(1,1,0),(1,-1,0)} B’={(1,-1,2),(2,2,-1),(2,2,2)
- Let matrices A,B,C store factory value of 3 items for the last 20 years, and D,E,F store sale value of some items respectively. state a matrix operation that calculates the average profit gained from the 3 items per year?Is it possible for a transition matrix to equal the identity matrix? Explain.I need find fundemental matrix for ODE
- what is the limiting matrixJn is simply an nxn matrix with only ones inside.At any given time, a subatomic particle can be in one of two states, and it moves randomly from one state to another when it is excited. If it is in state 1 on one observation, then it is 3 times as likely to be in state 1 as state 2 on the next observation. Likewise, if it is in the state 2 on one observation, then it is 3 times as likely to be in state 2 as state 1 on the next observation. 1. Find the transition matrix for this Markov chain. 2. Researchers estimate that the particle is currently 4 times as like to be in state 1 as state 2. Find the probability vector representing this estimation. 3. Based on the estimation, what is the probability that the particle will be in state 2 two weeks from now? 4. What is the probability that the particle will be in state 1 three weeks from now?