Reputation
1,916
Top tag
Next privilege 2,000 Rep.
Edit questions and answers
Badges
12 35
Impact
~82k people reached

Jul
25
accepted The Matrix of $T$ Relative to the Ordered Bases $\mathcal B$ and $\mathcal B'$ for $V$
Jul
25
comment Basis, Ordered Basis, and Linear Independence
@SolidSnake, if you write your comments into an answer, then I will accept it. Thank you.
Jul
25
comment The Matrix of $T$ Relative to the Ordered Bases $\mathcal B$ and $\mathcal B'$ for $V$
I know $[T\alpha]_{\mathcal B'}=A[\alpha]_{\mathcal B}\not\Longleftrightarrow[T\alpha]_{\mathcal B}=A[\alpha]_{\mathcal B'}$ because neither $[T\alpha]_{\mathcal C}$ nor $[\alpha]_{\mathcal C}$ might even make sense for some $\mathcal C\in\{\mathcal B,\mathcal B'\}$. What I'm concerned about is whether the bolded definition is ambiguous with my restrictions.
Jul
25
revised The Matrix of $T$ Relative to the Ordered Bases $\mathcal B$ and $\mathcal B'$ for $V$
added 11 characters in body
Jul
25
asked The Matrix of $T$ Relative to the Ordered Bases $\mathcal B$ and $\mathcal B'$ for $V$
Jul
25
comment Basis, Ordered Basis, and Linear Independence
@SolidSnake, I see. What if it is an ordered basis?
Jul
25
asked Basis, Ordered Basis, and Linear Independence
Jul
24
comment Matrix Equation: Reduced Row Echelon Form
Brilliant! I also see the connection between this and Solid Snake's comment regarding elementary matrices.
Jul
24
accepted Matrix Equation: Reduced Row Echelon Form
Jul
24
comment Matrix Equation: Reduced Row Echelon Form
@Tucker, you are correct for that particular case.
Jul
24
asked Matrix Equation: Reduced Row Echelon Form
Jul
21
accepted The Mystery of the Número Cabalístico
Jul
20
accepted Hestenes' Existence of Extreme Points
Jul
20
comment Hestenes' Existence of Extreme Points
@user251257 You are right. Thank you for your help. If you write your comments into an answer, then I will accept it.
Jul
20
comment Hestenes' Existence of Extreme Points
@user251257 I see; the horizontal asymptote is breaking it. Can I still salvage it by requiring that $f (S) $ also be closed?
Jul
20
comment Hestenes' Existence of Extreme Points
Take $f(x)=x^2$ on $S=(0,\infty)$. Then $\inf_Sf=0$, but there exists no $x_0\in S$ such that $f(x_0)=0$.
Jul
20
asked Hestenes' Existence of Extreme Points
Jul
16
accepted Dummit & Foote's Abstract Algebra, 3rd Edition, Exercise 0.1.7
Jul
16
asked Dummit & Foote's Abstract Algebra, 3rd Edition, Exercise 0.1.7
Jul
1
awarded  Notable Question