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 -...