Transition matrix — 59 discussions

I have to learn a section from my textbook and I can't seem to undertand what a regular transition matrix is. The definition given is: A transition matrix is regular if some integer power of it has all positive entries. Now an identity matrix isn't regular, but I am pretty sure all integer...

Hi, I have a (markov chain) transition matrix X which I understand. In particular each row of this matrix sums to 1. I have used this transition matrix to construct it's generator, Y. I.e. Y is the continuously compounded transition matrix, X = exp(Y) X*X = exp(2Y), etc both X and Y...

Homework Statement p1 goes to p2 p2 goes to p3 p3 goes to p1 p4 goes to p3 Assume that surfers have an 80% chance of following one of the links on the page, and a 20% chance of jumping to a random page. (a) Write the transition matrix A representing the surfing process. (b) Is A...

Homework Statement First year-linear algebra (Proof based... and this is my first exposure to proofs so I'm like... lol). This question is pretty computational though. Find J, The Jordan Canonical form of a Given Matrix A, and an invertible Matrix Q such that J = Q(A)(Q^-1) Homework...

Homework Statement Find the transition matrix from B to C and find [x]C B = {(3,1), (-1,-2)} C = {(1,-3),(5,0)} [x]B = [-1 -2]T Homework Equations The Attempt at a Solution No clue :(

Im trying to figure out how to do this question. This is an example in the book i have. I am not sure how they got the answer. Here is the example from the book: Find the Transition Matrix P from the basis B={t+1, 2t, t-1} to B'={4t^{2}-6t, 2t^{2}-2, 4t} for the space R[t]. A little...

1. Problem Evaluate \int_{-\infty}^{\infty} \int_{-\infty}^{\infty} \int_{-\infty}^{\infty} z^{2} e^{-A \sqrt{x^{2}+y^{2}+z^{2}}} dxdydz 2. Useful Formulae none 3. Attempt at Solution Well, this is part of a much larger problem. I am trying to compute the dipole moment matrix elements...

A dynamic interurban of people shows the following Markov Transition Matrix of residents to urban, suburban and rural areas: __________Urban___Suburban____Rural Urban ... a...b...y suburban... o.....q.....z Rural ... 1-a-o ...1-b-q ... 1-y-z A = 0.9 O = 0.05 B = 0.1 Q = 0.7 Y = 0.1...

1. Consider n flips of a fair coin. Calculate the probability: a. n/2 < -Total number of heads b. 5000 > total #heads c. n/2 < total #heads < 5n/8 d. n < total #heads. WHERE n = 8992 2. Consider the shopping problem Markov transition matrix .5 | .5 ----------------- .75 -...