Good advice.
I was big into partying/other distracting stuff at the beginning of college. Somehow I made good grades, but now that classes are harder, I'm struggling more—even though I'm not making the same mistakes as before. Guess the laziness is the hardest habit to break.
Hey forum, I just failed 3 tests in 3 separate courses—Stats., Actuarial Maths., and a philosophy course (last one was kinda the prof.'s fault but whatever)—at my university.
This might have something to do with the facts that 1) this semester marks my return from taking last semester off and...
Hey folks, I'm currently a Math and Philosophy double major but have recently come to realize how impractical these degrees are in regard to getting a "real job." I'm thinking about picking up a minor in CS; thing is, I've never studied it at all.
First question: Is this a good idea? I've...
Hi all. I am a Math and Philosophy double major at a top 20 university. I have recently been putting a lot of thought into what I want to do after graduation but am basically pretty lost.
I was the best physics student in my high school during my junior and senior years and really enjoyed...
In studying for my Linear Algebra test on Monday, I came across a question in my textbook that defines a hyperplane and asks what the dimension of a hyperplane is in Rn. I immediately knew the answer to be n-1, but am having difficulty justifying this claim.
The only thing I can think of now...
Okay, here's my attempt at solving the first.
Suppose Ax=b has two solutions, x=x1 and x=x2, where x1=/=x2.
Ax1=b Ax2=b
Ax1=Ax2
-Ax2 -Ax2
Ax1-Ax2=0
A(x1-x2)=0
Now let's assume x1=x2; this condition implies that Ax=b has a unique solution.
A(x1-x2)=0
A0=0
We thus...
This stuff is confusing. I don't know if it's hard or not, I just have a feeling I don't really know what I'm doing.
Homework Statement
1. Show that the equation Ax=b has a unique solution if and only if the solution to Ax=0 is x=0.
2. Let A be an m x p matrix, and let B be a p x n...