Math 1310: ICYMI Tips for Assignment 4

Published: Sun, 11/02/14

Did you read my tips on how to study and learn Math 1310?  If not, here is a link to those important suggestions:
Did you see my tips for Assignment 1?
Did you see my tips for Assignment 2?
Did you see my tips for Assignment 3?
Tips for Assignment 4
Here is a link to the actual assignment, in case you don't have it handy:
You need to study Lesson 10 (Determinants and Their Properties), Lesson 11 (Adjoint Matrices), Lesson 12 (Cramer's Rule), and Lesson 13 (Markov Analysis) from my Matrices for Management book to prepare for this assignment.
PLEASE NOTE:  I have totally re-jigged my Matrices for Management book this year.  Two new lessons have been added, and I have changed the order of many of the other lessons to better fit the syllabus for the distance course.  I always appreciate it when students purchase the current edition of my books, as that does subsidize my efforts to offer things like these free tips.  If you choose to make do with an older edition of my book, please realize that you are missing some things, but you can probably make do.  I leave it up to you to look at the Table of Contents in my free sample of the book above to clarify what lesson number in your old book pertains to the lessons I mention in my tips.
Don't have my book?  You can download a free sample of my book and audio lectures containing Lessons 1, 2 and  3:
Question 1
A good runthrough of Determinant Properties as taught in Lesson 10 of my book.  Also make sure you have done the Adjoint lesson (Lesson 11) before you do this question.  Question 2 in Lesson 10 and Question 3 in Lesson 11 are especially helpful.
Question 2
A Markov problem as taught in Lesson 13.  Please note:  Don't bother trying to remember the tricks and shortcuts I teach in this lesson.  I got carried away.  When finding the steady-state or stable vector, please do set up the augmented matrix in the form I show, and please do add an additional row of 1's at the top of the matrix.  Do follow my advice about getting rid of the fractions or decimals before you begin row-reducing.  However, ignore my suggestions about 0 rows or using Cramer's Rule.  Just row-reduce the matrix just like you have always done since Lesson 2, and things will work out fine.
Question 3
Very similar to my Lesson 10, question 5.
Question 4
Very similar to my Lesson 10, question 6.
Question 5
Very similar to my Lesson 11, question 1.  Obviously, in part (e), they want you to solve X.
Question 6
Very similar to my Lesson 12, question 1.