Reputation
2,485
Top tag
Next privilege 2,500 Rep.
Create tag synonyms
Badges
1 8 28
Newest
 Yearling
Impact
~39k people reached

Apr
17
asked The eigenvalue of $B=\mathrm{Re\ }A$ for $A$ a Hermitian matrix
Apr
16
asked If $\|A^2\|=\|A\|^2$, then $A$ is normal
Apr
16
asked Find the maximum possible $k$ s.t. $\langle v_i,v_j\rangle\leq 0$ for all $i\neq j$.
Apr
14
comment $A^2$ and $A^3+A$ are diagonalizable, prove $A$ is diagonalizable
could u write it more detailed, I have some difficulty understanding your answer, thanks
Apr
13
asked $M^2<N^2$ if $M,N$ are two positive definite matrix
Apr
13
comment $A^2$ and $A^3+A$ are diagonalizable, prove $A$ is diagonalizable
I don't know why his first assertion that the Jordan block has size 1 is correct
Apr
13
comment $A^2$ and $A^3+A$ are diagonalizable, prove $A$ is diagonalizable
@carmichael561 I mean if two similar matrix are in R
Apr
13
comment $A^2$ and $A^3+A$ are diagonalizable, prove $A$ is diagonalizable
I don't understand the first assertion, since the square of the Jordan form may not be the Jordan form of $$A^2
Apr
13
comment $A^2$ and $A^3+A$ are diagonalizable, prove $A$ is diagonalizable
@carmichael561 diagonizable doesn't depend on the field, since if two matrix are similar in C, they are similar in R
Apr
13
asked $A^2$ and $A^3+A$ are diagonalizable, prove $A$ is diagonalizable
Apr
8
accepted Prove if $\sum_ja_{ij}Aj$ commute with each other, then $A_j$ commute with each othe
Apr
8
accepted Generalized eigenvalue space of $P(\lambda)$ and $\lambda$
Apr
7
revised Generalized eigenvalue space of $P(\lambda)$ and $\lambda$
added 15 characters in body; edited title
Apr
7
asked Generalized eigenvalue space of $P(\lambda)$ and $\lambda$
Apr
7
comment Prove if $\sum_ja_{ij}Aj$ commute with each other, then $A_j$ commute with each othe
@AhmedHussein Halmos finite dimensional vector space,section of determinant
Apr
7
asked Prove if $\sum_ja_{ij}Aj$ commute with each other, then $A_j$ commute with each othe
Apr
3
asked $J[y]=\int_a^bF(x,y,y')dx$ with constraint and free boundary
Apr
1
asked The product rule of f differentiable a.e.
Mar
13
comment Calculate $\lim_{n\to\infty} \frac{1}{n}\sum_{k=0}^n \arctan\left(\frac{k}{n}\right) $
Consider to compare it with the integral of arctan in [0,1]
Mar
10
accepted $f^{-1}(V)=U$ imply $V=f(U)$ if $V\subset f(X)$