User EPS

6 votes

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Cartesian product of dense sets is dense?

answered May 14, 2014 at 17:15

6 votes

Shortest and most elementary proof that the product of an $n$-column and an $n$-row has determinant $0$

answered Sep 19, 2014 at 18:10

6 votes

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Is $\|x\| = \| \overline{x} \|$ in an inner product space?

answered Oct 19, 2014 at 18:35

6 votes

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Do entries in augmented columns count as pivot?

answered Feb 4, 2015 at 5:04

6 votes

Linear Algebra Versus Functional Analysis

answered Aug 20, 2016 at 17:26

5 votes

How to determine the general polar equation of a circle

answered May 14, 2014 at 20:58

4 votes

Evaluate the following limits if they exist (squeeze theorem problem)

answered Jun 5, 2014 at 2:01

4 votes

Check diagonalizability of a matrix without using eigen properties

answered Sep 5, 2014 at 1:38

4 votes

An Alternative Definition of Reductive Lie Algebra?

answered Mar 3, 2015 at 15:06

3 votes

Accepted

In a locally compact Hausdorff space, why are open subsets locally compact?

answered Jan 26, 2015 at 19:26

3 votes

Humorous integration example?

answered Nov 6, 2014 at 1:50

3 votes

Proof that $\lim_{n\to\infty}{\sin{100n}}$ does not exist

answered Nov 28, 2014 at 19:22

3 votes

Accepted

Trigonometric series sum proof

answered May 25, 2014 at 18:09

2 votes

If $f$ and $f'$ are integrable, then $f'$ has integral $0$

answered Jun 8, 2014 at 2:36

2 votes

Scalar product and Unit vector

answered Jun 8, 2014 at 3:15

2 votes

If $B^T$ consists of a basis of $\mathrm{im} (A)^\perp$, then $\mathrm{im}(A)=\ker (B)$?

answered Aug 26, 2014 at 0:12

2 votes

Computing $\lim_{(x,y)\to(0,0)}(x^2+1)\cdot\frac{\sin y}{y}$

answered Sep 16, 2014 at 16:43

2 votes

Finding the inverse of $f(x)=|x|-2$

answered May 16, 2014 at 5:48

2 votes

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Invertible composition of linear transformation

answered May 22, 2014 at 3:11

2 votes

Accepted

Haar measure of point sets

answered May 23, 2014 at 0:55

2 votes

Proof the Similarity of Matrices

answered May 14, 2014 at 15:48

2 votes

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Any sequence $(a_n)$ of real numbers has a subsequence $(a_{n_k})$ such that ($\sin(a_{n_k})$) converges?

answered Apr 29, 2014 at 3:23

2 votes

Preservation of rank implies Invertibility

answered Oct 8, 2014 at 1:00

2 votes

If $G$ acts on $X$ then $\psi: X\to X$ is a bijection

answered Nov 17, 2015 at 15:28

1 vote

Accepted

one to one and onto meaning

answered Aug 24, 2015 at 14:07

1 vote

Accepted

Find the kernel of a linear transformation

answered Oct 5, 2014 at 18:12

1 vote

Is the set of matrices with rank at most $r$ closed?

answered Oct 31, 2014 at 1:35

1 vote

Accepted

Writing a two-form as a wedge product

answered Nov 5, 2014 at 1:29

1 vote

Transformations that are not orthogonal

answered Nov 5, 2014 at 2:20

1 vote

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If $T$ is onto and the vectors $u_1, u_2, \ldots, u_k$, show $T(u_i)$ span $\mathbb{R}^n$.

answered Dec 8, 2014 at 23:00

Stack Exchange Network

58 Answers

Cartesian product of dense sets is dense?

Shortest and most elementary proof that the product of an $n$-column and an $n$-row has determinant $0$

Is $\|x\| = \| \overline{x} \|$ in an inner product space?

Do entries in augmented columns count as pivot?

Linear Algebra Versus Functional Analysis

How to determine the general polar equation of a circle

Evaluate the following limits if they exist (squeeze theorem problem)

Check diagonalizability of a matrix without using eigen properties

An Alternative Definition of Reductive Lie Algebra?

In a locally compact Hausdorff space, why are open subsets locally compact?

Humorous integration example?

Proof that $\lim_{n\to\infty}{\sin{100n}}$ does not exist

Trigonometric series sum proof

If $f$ and $f'$ are integrable, then $f'$ has integral $0$

Scalar product and Unit vector

If $B^T$ consists of a basis of $\mathrm{im} (A)^\perp$, then $\mathrm{im}(A)=\ker (B)$?

Computing $\lim_{(x,y)\to(0,0)}(x^2+1)\cdot\frac{\sin y}{y}$

Finding the inverse of $f(x)=|x|-2$

Invertible composition of linear transformation

Haar measure of point sets

Proof the Similarity of Matrices

Any sequence $(a_n)$ of real numbers has a subsequence $(a_{n_k})$ such that ($\sin(a_{n_k})$) converges?

Preservation of rank implies Invertibility

If $G$ acts on $X$ then $\psi: X\to X$ is a bijection

one to one and onto meaning

Find the kernel of a linear transformation

Is the set of matrices with rank at most $r$ closed?

Writing a two-form as a wedge product

Transformations that are not orthogonal

If $T$ is onto and the vectors $u_1, u_2, \ldots, u_k$, show $T(u_i)$ span $\mathbb{R}^n$.