Part:c: The weather in Columbus is either good, indifferent or bad on any given day. If the weather is good today, there is a 60% chance the weather will be good tomorrow, a 30% chance the weather will be indifferent, and a 10% chance the weather will be bad. If the weather is indifferent today, there will be 40% chance of being good and 30% chance of being indifferent tomorrow. Finally if the weather is bad today, there will be 40% chance of being good and 50% chance of being indifferent tomorrow. Write down the Markov matrix for this situation?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 32E
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Application of Linear Algebra.

CLO 2: Apply different methods to solve the linear systems of the form Ax=b in physical
problem such as solving electric circuits, making nutritious diet plan and also in solving
vector differential equation of the form v = Av and eigen-value problems
Question No. 2:
Part:c:
The weather in Columbus is either good, indifferent or bad on any given day. If the weather
is good today, there is a 60% chance the weather will be good tomorrow, a 30% chance the
weather will be indifferent, and a 10% chance the weather will be bad. If the weather is
indifferent today, there will be 40% chance of being good and 30% chance of being
indifferent tomorrow. Finally if the weather is bad today, there will be 40% chance of being
good and 50% chance of being indifferent tomorrow. Write down the Markov matrix for this
situation?
Transcribed Image Text:CLO 2: Apply different methods to solve the linear systems of the form Ax=b in physical problem such as solving electric circuits, making nutritious diet plan and also in solving vector differential equation of the form v = Av and eigen-value problems Question No. 2: Part:c: The weather in Columbus is either good, indifferent or bad on any given day. If the weather is good today, there is a 60% chance the weather will be good tomorrow, a 30% chance the weather will be indifferent, and a 10% chance the weather will be bad. If the weather is indifferent today, there will be 40% chance of being good and 30% chance of being indifferent tomorrow. Finally if the weather is bad today, there will be 40% chance of being good and 50% chance of being indifferent tomorrow. Write down the Markov matrix for this situation?
CLO 2: Apply different methods to solve the linear systems of the form Ax = b in physical
problem such as solving electric circuits, making nutritious diet plan and also in solving
vector differential equation of the form v = Av and eigen-value problems
Question No. 2:
Part:d:
Suppose that four vertices of the parallelogram are given by data matrix P using the
homogenous coordinate system where
3
[o 2
P = 0 0
li 1
1
1.5
1.5
1 1
First translate P(parallelogram) by (3, 1) and then scale this translated parallelogram by the
factor of 2. Write two 3*3 matrices for above transformations.
Also write one 3*3 matrix for the composite transformation.
Sketch the original and transformed parallelogram after the composite transformation.
Transcribed Image Text:CLO 2: Apply different methods to solve the linear systems of the form Ax = b in physical problem such as solving electric circuits, making nutritious diet plan and also in solving vector differential equation of the form v = Av and eigen-value problems Question No. 2: Part:d: Suppose that four vertices of the parallelogram are given by data matrix P using the homogenous coordinate system where 3 [o 2 P = 0 0 li 1 1 1.5 1.5 1 1 First translate P(parallelogram) by (3, 1) and then scale this translated parallelogram by the factor of 2. Write two 3*3 matrices for above transformations. Also write one 3*3 matrix for the composite transformation. Sketch the original and transformed parallelogram after the composite transformation.
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