Did you read my tips on how to study and learn Math 1300?  If not, here is a link to those important suggestions:

Did you read my tips for Assignment 1?  If not, here is a link to those important suggestions:

Did you read my tips for Assignment 2?  If not, here is a link to those important suggestions:

Did you read my tips for Assignment 3?  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.  Note, in part (d), you want to isolate C-transpose algebraically first.

Classic elementary matrix stuff as taught in Lesson 5 of my book.

Classic inverse matrix stuff as taught in Lesson 4 of my book.

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.

You may find my Practise Problem 31 at the end of Lesson 3 helpful with this question.

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.