236 reputation
18
bio website
location
age
visits member for 2 years, 11 months
seen 5 hours ago

6h
comment What ring-sum of vector spaces can possibly mean?
Thanks for the links!
6h
comment What ring-sum of vector spaces can possibly mean?
Thanks for clarification!
6h
accepted What ring-sum of vector spaces can possibly mean?
6h
asked What ring-sum of vector spaces can possibly mean?
Dec
15
awarded  Caucus
Dec
12
accepted Prove that if a complex number raised to nth power equals one, then product of the solutions to this euqations is one
Dec
12
comment Prove that if a complex number raised to nth power equals one, then product of the solutions to this euqations is one
Nope, this is actually a bogus assignment (it doesn't say that the roots should be non-real). I will have to ask the prof. to clarify it. But thank you for explanation!
Dec
12
comment Prove that if a complex number raised to nth power equals one, then product of the solutions to this euqations is one
@PeterFranek you are right, it could be $-1$, but I've just re-read the assignment, and that's what it asks me to prove. I guess then it must be a typo in the assignment!
Dec
12
comment Prove that if a complex number raised to nth power equals one, then product of the solutions to this euqations is one
@PeterFranek oh... are you referring to the fact that $(-(n-1))+(-(n-2))+...+(-1)+0+1+2+...+(n-2)+(n-1)+n = n$ and then $n/n = 1$? Wouldn't I need to also somehow prove for odd and even cases, and I'm not sure whether the same theorem says anything about the number of positive and negative roots (or does it?).
Dec
12
comment Prove that if a complex number raised to nth power equals one, then product of the solutions to this euqations is one
@PeterFranek no? $(1 + 2)/2 = 3/2$... I eventually get to this formula, but I don't see how I could use it :(
Dec
12
comment Prove that if a complex number raised to nth power equals one, then product of the solutions to this euqations is one
@Chinny84 Actually, the text of the assignment doesn't say, but I believe it is a real number.
Dec
12
asked Prove that if a complex number raised to nth power equals one, then product of the solutions to this euqations is one
Nov
18
comment Can product of two singular matrices be invertible?
@hardmath thanks.
Nov
18
comment Can product of two singular matrices be invertible?
@hardmath yes, sorry, I had to specify that. All matrices are of the same shape and are square matrices.
Nov
17
accepted Can product of two singular matrices be invertible?
Nov
17
comment Can product of two singular matrices be invertible?
Thank you, this is very educational!
Nov
17
comment Can product of two singular matrices be invertible?
I'm going to accept Adhvaitha's answer because it came first, but thank you too!
Nov
17
comment Can product of two singular matrices be invertible?
Oh, thanks! I couldn't find a way to prove invertibility of a matrix given by a large product, where I can only prove that factors are invertible, but not in that order. Now I can sleep soundly :)
Nov
17
asked Can product of two singular matrices be invertible?
Nov
15
comment Prove that if $A^2=0$ then $A$ is not invertible
Oh, thank you, I see now.