Huy
Reputation
3,066
Top tag
Next privilege 5,000 Rep.
Approve tag wiki edits
 Jan 4 answered Generic method to find a matrix whose null space is given Jan 4 comment Eigenvalue of the substraction of 2 matrices If you have to prove or disprove the statement "If $A$ and $B$ have the same eigenvalues, then $A-B$ has eigenvalue $0$", then one counterexample is sufficient to disprove the statement. If you want to prove that the statement is true, you'll need to show it for general matrices $A$ and $B$ and not just using one example. Jan 4 reviewed Approve Why is this $0 = 1$ proof wrong? Jan 4 reviewed Edit Maximizing volume in Calculus Jan 4 revised Maximizing volume in Calculus improved formatting Jan 4 reviewed Edit How is this a counter example to “ $A$ and $B$ are isomorphic but $G/A \ncong G/B”$? Jan 4 revised How is this a counter example to “ $A$ and $B$ are isomorphic but $G/A \ncong G/B”$? improved version Jan 4 reviewed Looks OK How to compute sum with non consecutive indices in Maple? Jan 3 revised $0$ and $p^n \mathbb{Z}_p$ are the only ideals of $\mathbb{Z}_p$ edited body Jan 3 revised $0$ and $p^n \mathbb{Z}_p$ are the only ideals of $\mathbb{Z}_p$ added 8 characters in body Jan 3 answered $0$ and $p^n \mathbb{Z}_p$ are the only ideals of $\mathbb{Z}_p$ Jan 3 comment $0$ and $p^n \mathbb{Z}_p$ are the only ideals of $\mathbb{Z}_p$ @fretty: $n$ can be $0$. Jan 3 comment Diagonalization versus s.d. product for non-commuting Hermitian matrices @nomadreid: Yes, they are equivalent, which is what I have shown in my post. First, I have shown that $[A, B] \neq 0$ is equivalent to (1) and then, I have given you the theorem that it is also equivalent to (2). Because equivalence of statements is an equivalence relation, (1) and (2) are equivalent to each other. This also applies to your third point: The point of my post was to show that (1) and (2) are not just consequences of $A$ and $B$ being non-commutative, but all three statements are equivalent! Jan 3 revised Inversible Antisymmetric Matrix added 21 characters in body; edited tags Jan 3 answered Inversible Antisymmetric Matrix Jan 3 answered Why $\|Ax\|^2=\frac{1}{4}\left(2\left+2\left\right)$ Jan 3 revised System of vectors $\{f_1, f_2, \ldots, f_n\} \in V^*$ is a basis of $V^*$ if and only if $\ker f_1 \cap \ker f_2 …\cap \ker f_n = \{0\}$ formatting Jan 3 reviewed Approve Near-rings: why are ideals defined like that? Jan 3 reviewed Approve Regression vs Classification Jan 3 reviewed No Action Needed Equation of a cubic function with inflection point on (0.5,0.5) and contains (0,0), (1,1)