9.2 5see attachment Refer to the regular Markov chain with transition matrix P =0.1 0.90.4 0.6SP= (Type an integer or decimal for each matrix element.)s = [ 0.0.4 0.9 ], calculate SP. Is S a stationary matrix? Explain.For S=

Given that the transition matrix p=0.10.90.40.6. For S= [ 0.4 0.9]. Calculate SP, Is S is a…

Answered: Refer to the regular Markov chain with…

Advanced Engineering Mathematics

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Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Deriving Snell's Law from an Optimization Problem Refraction is a physical phenomenon that happens when light, or more generally a wave, passes through two different mediums. In this problem, we consider two mediums separated by an horizontal line of length d (for example, this line could separate the water in a pool and the air above it). A photon is emitted from a source placed at a point A and detected at a point B. See Figure 1 for the placement of A and B. First Medium A h₁ d Second Medium B Figure 1: Photon emission and detection points. The speeds of the photon in the first and second medium are v₁ and #2, respectively. The refraction indexes are defined as n₁and n₂ = where c is the speed of light in vacuum. Assuming that the photon travels on the fastest path from A to B, prove Snell's law of refraction sin 01 ปา sin 02 v2 where 01 and 02 are the angles defined in Figure 2. First Medium A d Second Medium B Figure 2: Definition of 1 and 02. (1) Suggested steps: 1. Choose the…
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Refer to the regular Markov chain with transition matrix P = 0.1 0.9 0.4 0.6 SP= (Type an integer or decimal for each matrix element.) For S=[ 0.4 0.9], calculate SP. Is S a stationary matrix? Explain. DA