Yes, I looked at that exact article, but it seems way beyond what we've learned. I'm not even able to decipher it unfortunately.
As for your suggestion, well, the entire problem is that I do not know x(0). Will a 2x2 (P*P) give me the same answer as P2?
Imagine a 1 above the 1st column, a 2 above the 2nd column, and 3 above the 3rd column
do the same for the rows (1 beside the 1st row...)
and Pij = changing from state j to state i
Basically I put 0.875 in the 2nd row and 1st column, because the transition from state 1 to 2 is 7x more likely...
Consider a quantum mechanical system with three states. At each step a particular particle transitions from one state to a different state.
Empirical data show that if the particle is in State 1, then it is 7 times more likely to go to State 2 at the next step than to State...
In any given year a person may or may not get the flu. Past records show that if a person has the flu one year then (due to a build up of antibodies) there is a 85% chance that they will not get the flu in the following year. If they don't have a flu in a given year then...
Consider the following matrix.
2 + 4i.........1 + 5i
2 − 3i.........2 + 3i
Let B = A-1. Find b12 (i.e., find the entry in row 1, column 2 of A−1)
A-1 = 1/(ad - cb)*
[ d -b ]
[ -c a ]
<--imagine as 2x2 matrix with first row (d,-b)...
Express the complex number (−3 +4i)3 in the form a + bi
z = r(cos(θ) + isin(θ))
The Attempt at a Solution
z = -3 + 4i
z3 = r3(cos(3θ) + isin(3θ))
r = sqrt ((-3)2 + 42)
θ = arcsin(4/5) = 0.9273
∴ z3 = 53(cos(3⋅0.9273) + isin(3⋅0.9273))
a = -117