St Vincent's user avatar
St Vincent's user avatar
St Vincent's user avatar
St Vincent
  • Member for 10 years, 8 months
  • Last seen more than 2 years ago
  • California
12 votes
Accepted

Let $H$ have order $m$ and $K$ have order $n$, where $m$ and $n$ are relatively prime. Then $H \cap K=\{e\}$

7 votes
Accepted

Let $ I $ be an ideal in $\mathbb Z [i]$. Show that $\mathbb Z[i] /I $ is finite.

5 votes

In a ring with no zero-divisors, for $(m,n) =1$, $a^m = b^m$ and $a^n = b^n$ $\iff a =b$

5 votes
Accepted

Group Theory Lemma Proof

4 votes

Book on Linear algebra/ Matrix analysis?

3 votes
Accepted

Proof verification

3 votes

How to determine if this is a principal ideal domain?

3 votes

Are these an/a $∈$ or $⊆$ of the following set?

3 votes
Accepted

How do we determine the dimension of each $U_i$ where $U_i = \{u \in U:(s^2+I_U)^i(u)=0 \} $

3 votes
Accepted

Prove that if $f: A→B$ and $g: B→C$ are continuous, then so is $g\circ f: A→C$.

2 votes

Show $[K : F] = [K : E][E : F]$.

2 votes
Accepted

The Linear Combinations of Two Vectors Fill the Plane Unless _ [Strang P10 1.1.30]

2 votes

Proving linear independence of vectors which are functions of other independent vectors

1 vote

Find subspaces $W, X, Y \subset \Bbb{R} ^2$ with $\Bbb R ^2 = X \oplus Y$ but $X ∩ W = Y ∩ W = \{0\}$

1 vote

Being $|G| = 20$ and $H$ and $K$ subgroups of $G$ whose order is 5, prove that $K = H$

1 vote

T/F: If $a \in\operatorname{Span}\{b,c\}$, $b\in\operatorname{Span}\{a,c\}$. All vectors are non-zero.

1 vote

Finding the determinant of a $4\times4$ matrix

1 vote

What exactly does linear dependence and linear independence imply?

1 vote

How to find a subspace in $\mathbb{R}^3$

1 vote
Accepted

Let $d$ be a non-square discriminant. If $I \subset \mathcal{O}_d$ is a nonzero ideal, then $I \cong \mathbb{Z}^2$ as an abelian group.

0 votes

Linear Dependence Lemma 2

0 votes

Find a particular solution for these two differential equations

0 votes

What is an intuitive definition of the zero vector?

0 votes

Show that $(S,\ast)$ is commutative if and only if $(T,\Box)$ is commutative.

0 votes

Prove that: if $T$ is an irreducible linear operator then $T$ is cyclic