user avatar
user avatar
user avatar
idan di
  • Member for 7 years, 6 months
  • Last seen more than 1 year ago
6 votes
4 answers
466 views

Can you show me a good approach for taking the limit of this function?

4 votes
2 answers
2k views

Count the number of integer solutions of a linear equation

4 votes
3 answers
192 views

How to prove that if $\sum _{n=1}^{\infty }a_n\:$ converges then $\sum _{n=1}^{\infty }a_na_{2n}\:$ converges?

4 votes
1 answer
417 views

Finding all non-negative integers solutions to $x_1+x_2+x_3+...+x_6=20$ such that $x_{2n+1} \le x_{2n+2}$ for $0 \le n \le 2$

3 votes
1 answer
57 views

If $A\in M_{n\times n}^{\mathbb{C}}$ and $T(X)=AX$ for all $X\in M_{n\times \:n}^{\mathbb{C}}$ then $T$ is normal iff $A$ is normal

3 votes
1 answer
79 views

Given $T^2=\frac{T+T^{\ast \:}}{2}$. Find all eigenvalues of $T$ and show that $T^2 = T$

3 votes
0 answers
74 views

If $\exists v$ such that $\{v,T(v),\dots,T^{n-1}(v)\}$ is linearly independent then $T$ has $n$ different eigenvalues

2 votes
3 answers
192 views

If $W$ is $T$-invariant space of $V$ and $\left\{0\right\}\ne W\subseteq V$ then $\exists\ w\in W$ such that $w$ is an eigenvector of $T$

2 votes
1 answer
50 views

$T:M_{4\times 4}^{\mathbb{R}}\to M_{4\times 4}^{\mathbb{R}}\:$ defined by $T(M)=-2M^t + M$. Find the minimal polynomial of $T$

2 votes
1 answer
87 views

Shortest path that going through top priority vertices in a graph

2 votes
2 answers
791 views

How many solutions exists for this equation? [duplicate]

1 vote
3 answers
345 views

How to solve this combinations with repetitions problem using generating functions?

1 vote
3 answers
3k views

How to find coordinate vector for an ordered none standart basis of polynomials?

1 vote
1 answer
157 views

How to find all values for $\alpha$ and $\beta$ such that $\int _0^{\infty }f\left(x\right)$ converge [duplicate]

1 vote
2 answers
109 views

If $f$ continuous at $[1,\infty)$ and $\int _1^\infty\,f\left(x\right)dx$ converge, then $\int _1^\infty\frac{f\left(x\right)}{x}dx$ also converge?

1 vote
0 answers
47 views

How to conclude converges of an integral if I know that $\lim _{x\to \infty }e^{2x}f\left(x\right)=3$ and $f$ continuous and bounded in $\mathbb{R}$?

1 vote
2 answers
38 views

if $A\in M_{n×n}^{\mathbb{C}}$ and self-adjoint then $\exists t\in \mathbb{R}$ such that $A-tI$ is a negative-definite matrix

1 vote
1 answer
66 views

Given the problem : find the coefficient of $x^{100}$ in $\frac{1}{\left(1-x^5\right)\left(1-x^{10}\right)}$, why this solution works?

1 vote
0 answers
48 views

Number of all non-negative integer solutions to $x_1+x_2+...+x_{2n} =dm $ such that $x_{2k-1} \leq x_{2k} \forall 1 \leq k \leq n$

1 vote
1 answer
80 views

Find if $f_n\left(x\right)$ uniformly continuous at any closed interval in $\mathbb{R}$

1 vote
4 answers
324 views

What a good approach will be to solve this problem?

1 vote
4 answers
124 views

How to show that this function gets every real value exactly once?

1 vote
2 answers
1k views

If null(AB) is a subset of null(A), does they have the same rank?

1 vote
0 answers
24 views

$L=\left\{v:q_1\left(v\right) \ge q_2\left(v\right)\right\}$ is a subspace of $V$.Show that $q_1 \ge q_2 \:or\: q_2 \ge q_1 \forall v\in V$

1 vote
1 answer
23 views

$Show\:that\:B_A=\left\{w\in \sum ^{\ast }:\:\exists \:x\in \:A\:s.t\:\left|x\right|\le \left|w\right|\right\}\:is\:decidable\:$

0 votes
1 answer
36 views

find $A_0$, $x_0$ such that the Gauss integration formula $\int_{-1}^{1} f(x)|x| \,dx\, \approx$ $A_0 f(x_0)$ will be with maximum accuracy degree

0 votes
1 answer
207 views

Find A subspace with maximum dimension such that the quadratic form is non negative.

0 votes
1 answer
37 views

If $V$ is finite dimensional and $T:V \to V , S:V \to V$ are normal linear transformations and $TS=ST$ then they share a common basis of egienvectors

0 votes
1 answer
90 views

Subspace of $C^3$ that spanned by a set over C and over R

0 votes
3 answers
76 views

A problem concerning an integrated function such that for every $x$ in $\mathbb{R}$ , $ f(x)=0$