Recent content by glauss

I will give that linked PDF a read, on matricies and group theory, it only looks like a few pages. Do you have another recommendation for logic and proofs? I’d like to bring my skills up to par quickly and get back to working through Axler ASAP...

Unfortunately, this is the only book I can afford for a while. Though it might not be an optimal one, I figured that with some help, I could work through it and get a better book down the line. I'm counting on it! So: Since, by the (1)additive identity, 0 is an element of the set and, since...

I apologize for being difficult. to be honest, i actually previously considered F to represent F^Infinity, of which F^n would be a subset

Yes, I know what that is

Yes. Maybe I should delete and re create this thread so I get another person to assist? This is an introductory topic on the course, but I want to understand it well, so I’m asking for an assist

Oh I thought F^4 would be four dimensional set of which F is a superset. I’m actually really dumb so feel free to lead me by the hand to the concepts I’m trying to grasp

But not in F^4 unless it = 0 with the given expression for x3, right? ;)

Is it simply because b is not an element of F^4?

Thank you for the reply. Why must b = 0 for example a? F, in this book, is generalized so that it includes the real and complex fields.

Summary:: Properties of subspaces and verifying examples Hi, My textbook gives some examples relating to subspaces but I am having trouble intuiting them. Could someone please help me understand the five points they are attempting to convey here (see screenshot).

That makes perfect sense, thank you.

Thanks for the reply. I thought that because the 'i' was factored out in the solution for 'd', it wouldn't be a factor of the solution of 'd' when multiplying it by its inverse. However, your solution makes sense - because we re-included 'i' as a factor of 'b' in the first term (a+bi), we should...

I have as a solution for part one: c=(a)/(a^2 + b^2) d=(-b)/(a^2 + b^2) Which matches with the solution manual. The manual goes on to give the solution for part b: (a+bi) * ( (a)/(a^2 + b^2) - ((b)/(a^2 + b^2))i ) = 1 I'd simply like to know where the 'i' at the end of the second...