In Exercises 1–6, determine whether or not the matrix is a regular stochastic matrix.
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Finite Mathematics & Its Applications (12th Edition)
- Determine if the following matrix is a regular stochastic matrix. * 1 P = .2 .8 O False True O No Ideaarrow_forwardIf possible, fill in the missing values to make A a doubly stochastic matrix. (If not possible, enter IMPOSSIBLE.) - [ 0.3 a = b = A = a 0.3 X Xarrow_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_forward
- Exercise 10.2.5. An ion channel can be in either open (0) or closed (C) states. If it is open, then it has probability 0.1 of closing in 1 microsecond; if closed, it has probability 0.3 of opening in 1 microsecond. Calculate the probability of the ion channel going through the following sequence of states: COO.arrow_forwardDetermine if the given stochastic matrix is regular. If it is regular input the smallest exponent which shows the matrix to be regular, otherwise input 0. 0.04 A = 0 0.96arrow_forward2. Determine whether or not the given matrix is stochastic. If so, determine if it is regular, absorbing, or neither. 01 0 6173 213arrow_forward
- EXAMPLE 6.67 If λ = 2 per hour and = 3 per hour in an M/M/4/N queueing system and there are 2 chairs for waiting customers, calculate the probability that there are 7 customers in the system.arrow_forwardUse the matrix of transition probabilities P and initial state matrix x, to find the state matrices x, X2, and x3. [0.6 0.1 0.1] 0.1 P = 0.3 0.7 0.1 Xo = 0.2 0.1 0.2 0.8 0.7 X1 = X3 Need Help? Read Itarrow_forwardProve the ergodic-stochastic transformation.arrow_forward
- 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_forwardWrite a stochastic matrix corresponding to the transition diagram. The stochastic matrix is (Type an integer or decimal for each matrix element.) 0.9 0.1 0.4 0.3 B 0.4 0.2 0.7arrow_forwardCompute the steady-state matrix of the stochastic matrix. 1 0 .6 .1 0 1 .2 .2 0 0 0 .4 0 0 .2 .3arrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning