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Did you read my tips on how to study and learn Math 1300? If not, here is a link to those important suggestions: Here is a link to the actual assignment, in case you don't have it handy: You need to study Lesson 3 (Matrix Math), Lesson 4 (The Inverse of a
Matrix and Applications), Lesson 5 (Elementary Matrices), and Lesson 14 (Markov Analysis) from my Linear Algebra & Vector Geometry book to prepare for this assignment.
Don't have my book? You can download a
free sample of my book and audio lectures containing Lessons 1, 2 and 9: This is just classic matrix math stuff as taught in Lesson 3 of my book.
Classic elementary matrix stuff as taught in Lesson 5 of my book.
Classic inverse matrix stuff as taught in Lesson 4 of my book. To verify that your answer is correct, confirm that the product of A and A-inverse is the Identity matrix.
As I discuss in Lesson 3, any system of equations can be written in AX=B form (see page 94). This is very similar to my question 1 in Lesson 4.
This is a Markov Analysis question similar to my questions 1 and 2 in Lesson 14. Note: when you are finding the steady-state or stable vector, don't worry about the little tricks I use. Set up the augmented matrix with a
row of ones all the way through the first row, then the rest of the augmented matrix is I - T for the coefficients augmented with a column of zeros. In other words, do Step 1 as I outline at the start of Lesson 14. At that point, merely row-reduce the way you always do. Don't worry about the fancy tricks I show about making zero rows and stuff. Row-reduce like usual, and the system will solve itself. I really regret over-complicating this lesson by
giving too many tricks when it is ultimately just a row-reduction problem.
This is a Markov Analysis question similar to my question 4 in Lesson 14. Note: when you are finding the steady-state or stable vector, don't worry about the little tricks I use. Set up
the augmented matrix with a row of ones all the way through the first row, then the rest of the augmented matrix is I - T for the coefficients augmented with a column of zeros. In other words, do Step 1 as I outline at the start of Lesson 14. At that point, merely row-reduce the way you always do. Don't worry about the fancy tricks I show about making zero rows and stuff. Row-reduce like usual, and the system will solve itself. I really regret
over-complicating this lesson by giving too many tricks when it is ultimately just a row-reduction problem.
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