user avatar
user avatar
user avatar
user7980
  • Member for 11 years, 3 months
  • Last seen more than 6 years ago
23 votes
2 answers
18k views

Does equality of characteristic polynomials guarantee equivalence of matrices?

19 votes
2 answers
1k views

If $ \operatorname{Tr}(M^k) = \operatorname{Tr}(N^k)\;\forall 1\leq k \leq n$, then how do we show the $M$ and $N$ have the same eigenvalues?

12 votes
2 answers
4k views

Are there well known lower bounds for the upper incomplete gamma function?

10 votes
2 answers
3k views

Is there a formula for the determinant of the wedge product of two matrices?

10 votes
1 answer
457 views

Question about the converse of a well known result from Linear Algebra

10 votes
2 answers
6k views

Proof of an estimate for the tail of a normal distribution

9 votes
1 answer
6k views

Determining the rank of a matrix based on its minors

9 votes
4 answers
4k views

Characteristic polynomial equals minimal polynomial iff $x, Mx, \ldots, M^{n-1} x$ are linearly independent

7 votes
2 answers
1k views

How do we describe standard matrix multiplication using tensor products?

7 votes
2 answers
536 views

How do we show every linear transformation which is not bijective is the difference of bijective linear transforms?

7 votes
2 answers
2k views

Example of a submodule of $\mathbb{Z} \oplus \mathbb{Z}$ that is not a direct summand

7 votes
1 answer
953 views

Showing the countable direct product of $\mathbb{Z}$ is not projective

6 votes
2 answers
2k views

Finding the correct pivot in Smith normal form

6 votes
1 answer
767 views

What elements in a tensor algebra are invertible?

5 votes
2 answers
370 views

Showing $R(m\otimes n)$ is free if $Rm$ and $Rn$ are free

5 votes
1 answer
349 views

A coordinate free proof of the identity $Tr(A \otimes B)= Tr(A) \otimes Tr(B)$

5 votes
1 answer
2k views

Determining possible minimal polynomials for a rank one linear operator

5 votes
2 answers
1k views

Surjectivity of a map between a module and its double dual

5 votes
1 answer
3k views

Determining the Jordan form of a matrix given the invariant factors

5 votes
2 answers
545 views

Using the notation of wedge product to solve a linear system of equations

5 votes
0 answers
174 views

Using a laplace type expansion to get bounds on an integral arising in the study of Brownian motion

4 votes
0 answers
189 views

Help with removing singularities involving $ \int_{1}^{\infty} \exp\left( - \frac{x^2}{2y^{2r}} - \frac{y^2}{2}\right) \frac{dy}{y^r}$

4 votes
1 answer
174 views

Question about how linear independence of module elements gives conditions on the determinant of a matrix

4 votes
1 answer
231 views

Help with fixing a proof for an upper bound of $\int_{0}^{\infty} \exp\left( - \frac{x^2}{2y^{2r}} - \frac{y^2}{2}\right) \frac{dy}{y^r}$

4 votes
2 answers
276 views

Question about computing a Fourier transform of an integral transform related to fractional Brownian motion

4 votes
2 answers
4k views

Is a countable direct sum of free modules free?

4 votes
2 answers
570 views

Why does a tensor algebra not contain any zero divisors?

4 votes
1 answer
443 views

A counterexample to the isomorphism $M^{*} \otimes M \rightarrow Hom_R( M,M)$

3 votes
2 answers
77 views

What is an easy way to prove the equality $r > s > 0$ implies $x^r > x^s$?

3 votes
1 answer
701 views

Why is the tensor algebra of a vector space non-commutative?