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Feb
21
awarded  Yearling
Dec
20
awarded  Necromancer
Nov
2
comment Show the Gaussian Integers form a ring, by showing that it's a subring of a certain field
Basically the question is trying to get you to see that $\mathbb{Z}[i]$ is the ring of integers of the number field $\mathbb{Q}(i)$. It is quite a silly question though since you can quite easily show it is a ring without knowing this connection.
Nov
2
answered The number of possible basis in $n$ dimension.
Nov
2
comment Evaluate the Integral $\int \sqrt{1-4x^2}\ dx$
If you need a simpler explanation that this one then perhaps you need a simpler course...
Nov
1
answered Prove that $\mathbb{Z}[i]/\langle 1+i \rangle \cong \mathbb{Z}/2\mathbb{Z}$
Oct
11
comment Finding a Residue using Fermat's Theorem.
It doesn't say "use only", in fact it is probably impossible to do it using just Fermat.
Oct
10
revised Intuition behind “ideal”
edited body
Oct
6
comment A matrix and its transpose have the same set of eigenvalues
Any polynomial satisfied by $A$ is also satisfied by $A^T$ so yeah.
Oct
6
awarded  Good Answer
Oct
5
comment Can we find eight points which all have Hamming distance two?
There are 8 possible words so the list would contain every word...but 000 and 111 have distance 3.
Oct
4
comment Adding points on an elliptic curve
It might help to know the curve :p. Anyway given that it shouldn't be too hard to show that $6P + 2Q = -R$ and $2P+2R = -Q$.
Sep
2
comment Why is it necessary for a ring to have multiplicative identity?
Definitions in mathematics (especially in algebra) are usually made to capture some observed notion, so that we may study such things abstractly. The multiplicative identity of a ring is definitely something important that occurs in many systems and so yes it deserves to be a part of the definition.
Aug
27
comment How to show $\binom{2n}{n} \ge \prod_{n < p \le 2n} p $?
That's what I wrote.
Aug
27
comment How to show $\binom{2n}{n} \ge \prod_{n < p \le 2n} p $?
Well this is quite a well known result so has probably been found somewhere else and copied.
Aug
27
answered How to show $\binom{2n}{n} \ge \prod_{n < p \le 2n} p $?
Aug
18
awarded  Popular Question
Aug
9
comment How to prove that this new set of vectors form a basis?
I didn't...it was just notation.
Aug
9
answered How to prove that this new set of vectors form a basis?
Aug
9
comment How to prove that this new set of vectors form a basis?
...also this is not true over a field of characteristic $2$!