![[4] Compute the state transition matrix At given that, and verify your answers with MATLAB – 4) A = [1 2] ) A = 12 -1 _1-1 01](http://img.homeworklib.com/questions/2754ad30-97fa-11eb-972c-d39e74a83b9c.png?x-oss-process=image/resize,w_560)
Homework Answers
as verified in matlab
a) syms t
A=[1 2;3 -1]
TM=expm(A*t)
A =
1 2
3 -1
TM =
[ exp(7^(1/2)*t)/2 + exp(-7^(1/2)*t)/2 + (7^(1/2)*exp(7^(1/2)*t))/14 - (7^(1/2)*exp(-7^(1/2)*t))/14, (7^(1/2)*exp(7^(1/2)*t))/7 - (7^(1/2)*exp(-7^(1/2)*t))/7]
[ (3*7^(1/2)*exp(7^(1/2)*t))/14 - (3*7^(1/2)*exp(-7^(1/2)*t))/14, exp(7^(1/2)*t)/2 + exp(-7^(1/2)*t)/2 - (7^(1/2)*exp(7^(1/2)*t))/14 + (7^(1/2)*exp(-7^(1/2)*t))/14]
b) syms t
A=[-1 0;2 -1]
TM=expm(A*t)
A =
-1 0
2 -1
TM =
[ exp(-t), 0]
[ 2*t*exp(-t), exp(-t)]
c) syms t
A=[5 7 -5;0 4 -1;2 8 -3]
TM=expm(A*t)
A =
5 7 -5
0 4 -1
2 8 -3
TM =
[ 2*exp(2*t) + exp(3*t) - 2*exp(t), 5*exp(2*t) + exp(3*t) - 6*exp(t), 4*exp(t) - exp(3*t) - 3*exp(2*t)]
[ 2*exp(2*t) - exp(3*t) - exp(t), 5*exp(2*t) - exp(3*t) - 3*exp(t), exp(3*t) - 3*exp(2*t) + 2*exp(t)]
[ 4*exp(2*t) - exp(3*t) - 3*exp(t), 10*exp(2*t) - exp(3*t) - 9*exp(t), exp(3*t) - 6*exp(2*t) + 6*exp(t)]
Add Answer to:
[4] Compute the state transition matrix At given that, and verify your answers with MATLAB –...
14. 0-4 points LarLinAlg8 4.7.042 My Notes O Ask Your Tea Use a software program or a graphing utility to find the transition matrix from B to B', find the transition matrix from B' to B...
14. 0-4 points LarLinAlg8 4.7.042 My Notes O Ask Your Tea Use a software program or a graphing utility to find the transition matrix from B to B', find the transition matrix from B' to B verify that the two transition matrices are Inverses of each other, and find the coordinate matrix [xls, given the coordinate matrix [xle B' = {(-1, 2, 256), (-1, 1. 128), (2,-2,-192)), l102 (a) Find the transition matrix from 8 to B (b) Find the...
T is the transition matrix for a 4-state absorbing Markov Chain. State 1 and state #2 are absorbi...
T is the transition matrix for a 4-state absorbing Markov Chain. State 1 and state #2 are absorbing states. 1 0 00 0 0 0.45 0.05 0.5 1 0 0 0.15 0 0.5 0.35 Use the standard methods for absorbing Markov Chains to find the matrices N (I Q)1 and BNR. Answer the following questions based on these matrices. (Give your answers correct to 2 decimal places.) a If you start n state #3, what is the expected number of...
MATLAB HELP Solve this problem first by hand and then check your answers in MATLAB. Write...
MATLAB HELP
Solve this problem first by hand and then check your answers in MATLAB. Write the output of the following commands when executed sequentially (i.e. in the order shown, from top to bottom) in the MATLAB command window Expression ans logical a) (6 + 3) >= 8 < 1 11 false 4 > (2 + 9) 11 ~true <- (-2*0.5) 4 + (4 < 7) (3&2) 0) d) e) Given |x= [10, 2, 6, 0, -31: y=[9, 0, 2,...
Consider a Markov Chain on {1,2,3} with the given transition matrix P. Use two methods to...
Consider a Markov Chain on {1,2,3} with the given transition matrix P. Use two methods to find the probability that in the long run, the chain is in state 1. First, raise P to a high power. Then directly compute the steady-state vector. 3 P= 1 3 2 1 1 3 4 Calculate P100 p100 0.20833 0.20833 0.20833 0.58333 0.58333 0.58333 0.20833 0.20833 0.20833 (Type an integer or decimal for each matrix element. Round to five decimal places as needed.)...
(10 points) Consider a Markov chain (Xn)n-0,1,2 probability matrix with state space S ,2,3) and transition...
(10 points) Consider a Markov chain (Xn)n-0,1,2 probability matrix with state space S ,2,3) and transition 1/5 3/5 1/5 P-0 1/2 1/2 3/10 7/10 0 The initial distribution is given by (1/2,1/6,1/3). Compute (a) P[X2-k for all k- 1,2,3 (b) E[X2] Does the distribution of X2 computed in (a) depend on the initial distribution a? Does the expected value of X2 computed in (b) depend on the nitial distribution a? Give a reason for both of your answers.
Problem 2 (a) Find the LU factorization of the following matrix, then verify your answer by...
Problem 2 (a) Find the LU factorization of the following matrix, then verify your answer by computing LU -1 4 5 a) 6 2 -4 1 -21 (b) Find the determinants of the following matrices. Show all your calculations and steps: [-1 4 51 a)6 2 -4b) 0 6 8 2 -4 3 3 2 6 8 10
explanation too Problems 7-11: The augmented matrix is given for a system of equations. If the...
explanation too
Problems 7-11: The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution. State the solution in vector parametric form. In your augmented matrix, draw a vertical line that represents the equal sign, label all columns of the augmented matrix, and before each new row, write the operations that give you that new row and show the scratch work on the same page...
Given the following matrix of transition probabilities (see the labels of the PROBLEM 2 (40 point...
part e） f） g）
thanks
Given the following matrix of transition probabilities (see the labels of the PROBLEM 2 (40 points) states above and in front of the matrix): 0 1 2 3 0(.6 4 0 0 1 0 0 3 .7 P 2 5 0 5 0 3 0 0 0 1/ Classify the classes of the Markov chain. (a) (7 points) number of classes: transient class(es)t: recurrent class(es)t of which the absorbing states are Find fo3 (b) (5...
Suppose that {Xn} is a Markov chain with state space S = {1, 2}, transition matrix...
Suppose that {Xn} is a Markov chain with state space S = {1, 2},
transition matrix （1/5 4/5 2/5 3/5）, and initial distribution P (X0
= 1) = 3/4 and P (X0 = 2) = 1/4. Compute the following:
(a) P(X3 =1|X1 =2)
(b) P(X3 =1|X2 =1,X1 =1,X0 =2)
(c) P(X2 =2)
(d) P(X0 =1,X2 =1)
(15 points) Suppose that {Xn} is a Markov chain with state space S = 1,2), transition matrix and initial distribution P(X0-1-3/4 and P(Xo,-2-1/4. Compute...
5:52 .11 LTE . a webassign.net Use a software program or a graphing utility to find the transition matrix from B to B", find the transition matrix from B' to B, venify that the tw...
5:52 .11 LTE . a webassign.net Use a software program or a graphing utility to find the transition matrix from B to B", find the transition matrix from B' to B, venify that the two transition matrices are inverses of each other, and find the coordinate matrix xls. given the coordinate matrix (xs (a) Find the transition matrix from B to B (b) Find the transition matrix from B' to B (c) Verify that the two transition matrices are inverses...
14. 0-4 points LarLinAlg8 4.7.042 My Notes O Ask Your Tea Use a software program or a graphing utility to find the transition matrix from B to B', find the transition matrix from B' to B verify that the two transition matrices are Inverses of each other, and find the coordinate matrix [xls, given the coordinate matrix [xle B' = {(-1, 2, 256), (-1, 1. 128), (2,-2,-192)), l102 (a) Find the transition matrix from 8 to B (b) Find the...
T is the transition matrix for a 4-state absorbing Markov Chain. State 1 and state #2 are absorbing states. 1 0 00 0 0 0.45 0.05 0.5 1 0 0 0.15 0 0.5 0.35 Use the standard methods for absorbing Markov Chains to find the matrices N (I Q)1 and BNR. Answer the following questions based on these matrices. (Give your answers correct to 2 decimal places.) a If you start n state #3, what is the expected number of...
MATLAB HELP
Solve this problem first by hand and then check your answers in MATLAB. Write the output of the following commands when executed sequentially (i.e. in the order shown, from top to bottom) in the MATLAB command window Expression ans logical a) (6 + 3) >= 8 < 1 11 false 4 > (2 + 9) 11 ~true <- (-2*0.5) 4 + (4 < 7) (3&2) 0) d) e) Given |x= [10, 2, 6, 0, -31: y=[9, 0, 2,...
Consider a Markov Chain on {1,2,3} with the given transition matrix P. Use two methods to find the probability that in the long run, the chain is in state 1. First, raise P to a high power. Then directly compute the steady-state vector. 3 P= 1 3 2 1 1 3 4 Calculate P100 p100 0.20833 0.20833 0.20833 0.58333 0.58333 0.58333 0.20833 0.20833 0.20833 (Type an integer or decimal for each matrix element. Round to five decimal places as needed.)...
(10 points) Consider a Markov chain (Xn)n-0,1,2 probability matrix with state space S ,2,3) and transition 1/5 3/5 1/5 P-0 1/2 1/2 3/10 7/10 0 The initial distribution is given by (1/2,1/6,1/3). Compute (a) P[X2-k for all k- 1,2,3 (b) E[X2] Does the distribution of X2 computed in (a) depend on the initial distribution a? Does the expected value of X2 computed in (b) depend on the nitial distribution a? Give a reason for both of your answers.
Problem 2 (a) Find the LU factorization of the following matrix, then verify your answer by computing LU -1 4 5 a) 6 2 -4 1 -21 (b) Find the determinants of the following matrices. Show all your calculations and steps: [-1 4 51 a)6 2 -4b) 0 6 8 2 -4 3 3 2 6 8 10
explanation too
Problems 7-11: The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution. State the solution in vector parametric form. In your augmented matrix, draw a vertical line that represents the equal sign, label all columns of the augmented matrix, and before each new row, write the operations that give you that new row and show the scratch work on the same page...
part e） f） g）
thanks
Given the following matrix of transition probabilities (see the labels of the PROBLEM 2 (40 points) states above and in front of the matrix): 0 1 2 3 0(.6 4 0 0 1 0 0 3 .7 P 2 5 0 5 0 3 0 0 0 1/ Classify the classes of the Markov chain. (a) (7 points) number of classes: transient class(es)t: recurrent class(es)t of which the absorbing states are Find fo3 (b) (5...
Suppose that {Xn} is a Markov chain with state space S = {1, 2},
transition matrix （1/5 4/5 2/5 3/5）, and initial distribution P (X0
= 1) = 3/4 and P (X0 = 2) = 1/4. Compute the following:
(a) P(X3 =1|X1 =2)
(b) P(X3 =1|X2 =1,X1 =1,X0 =2)
(c) P(X2 =2)
(d) P(X0 =1,X2 =1)
(15 points) Suppose that {Xn} is a Markov chain with state space S = 1,2), transition matrix and initial distribution P(X0-1-3/4 and P(Xo,-2-1/4. Compute...
5:52 .11 LTE . a webassign.net Use a software program or a graphing utility to find the transition matrix from B to B", find the transition matrix from B' to B, venify that the two transition matrices are inverses of each other, and find the coordinate matrix xls. given the coordinate matrix (xs (a) Find the transition matrix from B to B (b) Find the transition matrix from B' to B (c) Verify that the two transition matrices are inverses...
Most questions answered within 3 hours.
-
The extent to which assets are financed by borrowed funds and
other liabilities is indicated by:...
asked 8 minutes ago -
Explain in detail
Germany is the fifth largest economy
explain what goods and services Germany specializes...
asked 23 minutes ago -
The density of platinum is 21.45 g/mL. If a cube of platinum
with a mass of...
asked 28 minutes ago -
Accounts Receivable
Sales
A/R Posting
Extended Sales Invoice
Packing Slip
Compare invoice to packing slip 2...
asked 31 minutes ago -
Michaella, age 23, is a full-time law student and is claimed by
her parents as a...
asked 32 minutes ago -
Why are polymers not typically casted into products?
asked 49 minutes ago -
When rolling a die 129 times, what is the probability of rolling
a 6 no more...
asked 1 hour ago -
4. A call option currently sells for $7.75. It has a strike
price of $85 and...
asked 54 minutes ago -
1.
You need to prepare 10.0 liters of an acid aqueous solution with a
pH of...
asked 57 minutes ago -
Along an aggregate supply curve, if the level of output is less
than the natural level...
asked 58 minutes ago -
By 2025, annual consumption in emerging markets will total $30
trillion and contribute more than ________...
asked 1 hour ago -
At what point does reformation cease to be a viable option for
those who are oppressed...
asked 1 hour ago