I've been out from class for over a week thanks to H1N1 and I'm having some major problems with the course material. I didn't get any notes - and I can't this weekend (major test on Monday!), all I got was a review worksheet.

Can someone help me with the procedure of these problems? I don't actually have to do this sheet, but it will help me in preparing for the test that I have no idea on. I know barely anything about matrices, I'm very confused and stressed out about all of this but I'm willing to give it a try.

1. What is the inverse of 1/2?

But this isn't even a matrix... would it be 2/1?

2. What is the determinant of
(6 3
5 3)

The determinant is a*d-b*c, right? so
6*3 - 3*5
18 - 15
det = 3

3. What is the resultant matrix if you multiply the following...



4. What are the elements of the minor diagonal and the elements of the major diagonal?

I've never heard of either of those terms in my life, to be honest.


5. what is the coefficient matrix of


6. What is the inverse of

The inverse... if i remember correctly is d -b
-c a (is that correct??)

so... (6 -10
-7 12)

7. Solve by matrices... this is a system of equations, I think that's what it's called) - there are quite a few of these on the sheets, here's one:

A) 2x + 3y = 12
2x - y = 4

I know that first I go

but I can't remember what I do after that


Thanks a lot for any help with these questions. It means so much to me, I am in a bad spot right now with an upcoming test and zero knowledge of the basic skills required to pass it. The flu sucks. Sorry for the sloppy images as well, I couldn't format them with text right and I can't draw with my laptop touchpad good either, as shown

Hi. I think the best thing you can do is get some basic info on matrices. I'd search the web or the firs section in any good matrix book or chapter. It shouldn't take long because your questions are at a very basic level. I'm sure you'll get the hang of it if you just read up a bit.

3. Multiplying any matrix by its inverse gives you the Identity Matrix.



7.
.


This is equivalent to:

.

Now use Gaussian Elimination or Premultiply both sides by the Inverse.

__________________

I did look up some info and found the answers to a few questions, but I can't find anything on the "elements of the major and minor diagonal" one. What does that mean?

Use your doctors certificate to get a deferment on the test. Get a copy of the complete set of notes that you missed and start reviewing. Use whatever tutorial system your institute has to get additional help. Make appointments with your teacher to get additional help. Lodge an official complaint if even one of these things (especially the first) is not possible.

__________________
There are two things you should never try to prove: the impossible and the obvious.

The greater danger for most of us lies not in setting our aim too high and falling short; but in setting our aim too low and achieving our mark. (Michelangelo Buonarroti)

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Glad you did some research. Always better for your understanding to read up on material rather than have someone else do problems for you. Well done!!
I know that the "leading diagonal" is the one from the top left down to the bottom right. I would assume that is what is meant by the major diagonal so in the usual 2x2 matrix the elements would be a and d. I can only assume that the minior diagonal is the other one. I've only heard the term "leading" diagonal. Maybe someone else can shed some light.

I agree with Mr Fantastic - if you've had swine flu you've got a good reason to defer your test - but get a med cert.