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 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:

Did you read my tips for Assignment 4?  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:

Note that you need to study Lesson 11 (Vectors), Lesson 12 (Vector Spaces and Subspaces), Lesson 13 (Linear Independence), and Lesson 14 (Basis and Dimension) from my Matrices for Management book to prepare for this assignment.

Don't have my book? You can download a sample containing Lessons 1 and 2 here:

Here is a link where you can download part of my lesson on Equations of Lines from my Linear Algebra book to assist you with question 1 in the assignment.

This is not unlike my examples in Lesson 11.  Note that, when they put vertical lines around an expression (like absolute value signs), as in 2 (b) and (c), that is what I would denote with double lines. In other words, |v + w| is what I would denote ||v + w||, which means they want the length or norm of v + w.

Very similar to my questions 1 and 2 in Lesson 13.

As I teach in Lesson 14, the null space of A is the set of vectors X, such that AX = 0.  Simply set up an augmented matrix with the given matrix A augmented with a 0-column.  I think you will discover the solution (and so the null space) is the zero vector.

Very similar to my question 6 in Lesson 14.

Very similar to my questions in Lesson 12.  Feel free to do this question open-book using similar examples from my book.  Very unlikely you will ever have to do this kind of thing on your exam.

This is back to Lesson 11 again.  Just do what you are told.  Again, they mean the norm of u + kv. Set up the equation and solve k.

Make sure you have studied the Linear Independence section in Lesson 13 of my book and gone through my question 4 in that lesson.  Hint: you can use a determinant to solve this problem.