On the off chance anyone out there knows how to do this stuff, I’m currently working on the Inverse of a Matrix (the class is Linear Algebra for anyone who is curious.).
The first problem I have looks easy on the onset, but it is anything but as I have found so far. With the initial matrix of:
0 3 3
1 2 3
1 4 6
I know that I tag on the Identity matrix to this but I can’t find anywhere that tells me whether or not I should switch the top row with the second row in order to have a 1 in the top left corner (which was part of an earlier lesson on reducing the echelon of a matrix). Depending on whether or not I do that, I will either have:
0 3 3 1 0 0
1 2 3 0 1 0
1 4 6 0 0 1
or:
1 2 3 1 0 0
0 3 3 0 1 0
1 4 6 0 0 1
I’ve tried working the problem both ways several times, and I am never able to come up with the correct answer, which is supposed to be: (warning: I can't make this look square, no matter how much I play with it, so use your imagination to line up the numbers vertically)
0 2 -1
1 1 -1
-2/3 -1 1
I’m SO glad this is my last math class. I just hope I can catch on to what I’m supposed to be learning soon!
The annoying neighbors across the street moved & now we're getting a family looking at the house that has kids about the ages of my boys. I'll keep my fingers crossed that we get a family in there with kids that are closer in age to the twins.
The neighborhood is full of kids #3's age, but there are very few that are the twins age.
In response to Yetzirah's comment, with the help of a math e-mail group I'm on I did get the answer to the above question. Now I'm working on another one I've been dabbling with for the last couple days when I got frustrated with the above problem.
The problem facing me now is:
1 2 3
2 5 3
1 0 8
From there I add the Identity matrix onto the end of it to get:
1 2 3 1 0 0
2 5 3 0 1 0
1 0 8 0 0 1
I know the answer is supposed to be (again, use your imagination to make it a square block):
-40 16 9
13 5 -3
5 -2 -1
I'm going to go hide my head in the sand for a while. When I'm not stressing over this any more I'll come back to it.