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Apr
16
revised Evaluating norm of the operator
corrected notation error (x_n instead of z_n)
Apr
16
revised Find multivariable limit $\frac{x^2y}{x^2+y^3}$
Replaced a wrong solution with a correct one.
Apr
16
answered Find multivariable limit $\frac{x^2y}{x^2+y^3}$
Mar
25
answered show invariant subspace is direct sum decomposition
Mar
25
reviewed Approve Is Linear Algebra the foundation of Applied Mathematics?
Mar
19
revised Proving that given any two points in a connected manifold, there exists a diffeomorphism taking one to the other
added 20 characters in body
Mar
19
answered Proving that given any two points in a connected manifold, there exists a diffeomorphism taking one to the other
Mar
1
awarded  Revival
Dec
20
awarded  Constituent
Dec
20
answered What are some interesting sole exceptions or counterexamples?
Dec
10
awarded  Caucus
Nov
24
comment Confusing Analysis proof
Because you represent a bilinear form $f \colon V \otimes V \rightarrow \mathbb{F}$ and not a linear map $L \colon V \rightarrow V$. You can read about it in any reference that discusses bilinear forms - for example, people.virginia.edu/~mah7cd/Math5651/Lecture15.pdf.
Nov
23
revised Confusing Analysis proof
Addressed an additional question
Nov
23
comment Confusing Analysis proof
I'll add an explanation in an hour or so, but the point is that a bilinear form doesn't have a well-defined notion of a determinant as a number, only the ratio makes sense, and you can compute it any way you want.
Nov
23
comment How to show existence of an orthogonal map?
Hint: Complete $\frac{x}{||x||}$ to an orthonormal basis $(e_1, \ldots, e_n)$, complete $\frac{y}{||y||}$ to an orthonormal basis $(f_1, \ldots, f_n)$ and define $T$ by describing how it acts on $e_i$.
Nov
23
answered Confusing Analysis proof
Nov
17
revised Adaptions I have to make to go from integer coefficients to coefficients in $R$
edited tags
Sep
30
awarded  Explainer
Sep
6
comment Can there exist a non diagonal matrix whose inverse is diagonal matrix?
Yes, it is like in a field with respect to addition or multiplication or like in a vector space with respect to addition.
Sep
2
answered Kernel of linear transformation composition