In Exercises 1–6, determine whether or not the matrix is a regular stochastic matrix.
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FINITE MATHEMATICS & ITS APPLICATIONS
- Examine the stochastic/transition matrix below. 0 0 101 0.8 0.1 2 04 0.4 0.1 0.1 30 02 0.8 Question: a. is the transıtion matrix conditions above recurrent, stationary or irreducible? Explain! b determine the periodicity of each state!arrow_forward#11arrow_forwardDon't give handwritten answerarrow_forward
- Find the general solutions of the systems whose augmented matrices are given in Exercises 7–14.arrow_forwardPLease help, answer asap!! a. TRUE or FALSE: A stochastic matrix is a matrix that is square; all entries are greater than or equal to 0; and the sum of the entries in each column is 1. b. TRUE or FALSE: A regular matrix is a stochastic matrix that when raised to some power has all positive nonzero entries. c. TRUE or FALSE: An absorbing matrix is a stochastic matrix that has at least one absorbing state and it is possible to get to at least one absorbing state from any nonabsorbing state, either directly or indirectly. d. TRUE or FALSE: A polynomial interpolant is a model that can be found using an exact number of data points, n +1, for a polynomial of degree n e. TRUE or FALSE: The Method of Least-Squares is used for an overdetermined system of equations. f. TRUE or FALSE: The solution to a system of equations that results in parallel lines is no solution and is an inconsistent system. g. TRUE or FALSE: In order to find an exponential model, you must linearize the data and new data…arrow_forwardA medical researcher is studying the spread of a virusin a population of 1000 laboratory mice. During any week, there is an 80%probability that an infected mouse will overcome the virus, and during thesame week there is a 10% probability that a noninfected mouse will becomeinfected. Three hundred mice are currently infected with the virus. Pleaseanswer the following.1. What is the stochastic matrix that models this process?2. Compute how many mice will be infected next week.3. Compute how many mice will be infected in 3 weeks.4. Compute the steady-state matrix for this process.5. In the steady-state, how many mice are healthy and how many areinfected?arrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning