# Project #43720 - linear algebra

the text book use is " linear application and its applications", by David C lay , fourth edition, 2012.

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The six problems in BOLD are to be submitted.Â

All others are suggested exercisesfor your own practice.

Section 10.1:Â # 12,18,Â

Section 10.2: Â #25
Section 10.3: #3,4,12
Supplementary Problems (must be submitted along with the ones statedabove)
THESE TWO PROBLEMS MUST BE DONE BY HAND. YOU MAY USE ACOMPUTER TO CHECK, BUT THE SUBMITTED WORK MUST BE DONEON NOTEBOOKÂ PAPER.
1.Â A student is in one of the following states at class time:Â asleep, daydreaming, or absent.If he is asleep, there is 50% chance he will be asleep next class, and 10% chance he willbe absent.Â However, if he is currently daydreaming, he has 60% chance to daydreamthe next class, and 10% chance to be asleep.Â If he is absent, there is only 10% he willbe absent the next day, and 60% he will be daydreaming.Â What is the probability hewill be absent in the long run?
2. Consider a Markov chain with 2 states.Â Suppose if you are in state 1, you haveprobabilityÂ aÂ to return back to state 1 in 1 transition.Â If you are in state 2, you haveprobabilityÂ bÂ to end up in state 1 after 1 transition.Â Find the steady-state vector forthis Markov chain.
1

 Subject Mathematics Due By (Pacific Time) 10/15/2014 09:00 pm
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