Activity for Incnis Mrsi
| Type | On... | Excerpt | Status | Date |
|---|---|---|---|---|
| Comment | Post #280716 |
Matrix multiplication is a ring operation only for square (*n*×*n*) matrices. The cross product isn’t a ring operation at all (unless your *rings* subsume so named non-associative rings). (more) |
— | over 3 years ago |
| Comment | Post #280910 |
Did @Adam intend “|*ab*|π” for the numerator? (more) |
— | over 3 years ago |
| Edit | Post #281203 |
Post edited: grammar tweaks |
— | over 3 years ago |
| Edit | Post #281203 |
Post edited: {0} must be closed in $K$ |
— | over 3 years ago |
| Edit | Post #281203 |
Post edited: $K$ isn’t an ordered field! |
— | over 3 years ago |
| Edit | Post #281203 | Initial revision | — | over 3 years ago |
| Answer | — |
A: Is this topology basis dependent? First of all, the kernel of any $\phi\in V^\ast$ has codimension at most one; more precisely, $\ker\phi = V \Leftrightarrow \phi = 0$ and $\operatorname{codim}\ker\phi = 1$ if equalities are false. Hence $V^{[\ast]} = V^\ast$. Ī̲ suspect that by $V^{[\ast]}$ you really assume a basis-dependent thing,... (more) |
— | over 3 years ago |