/sci/ - Science & Math

>>11455635
Read Mas-Coleil.
>>11455795
Can I just show that the associated linear map is invertible?
[math]e_i[/math] is the [math]i-th[/math] basis vector. Set [math]B(Ae_i) = e_i[/math]. If all the [math]Ae_i[/math], which actually equals the [math]i-th[/math] collumn, are independent, [math]B[/math] extends to a well defined linear map in the obvious way, and we have [math]B=A^{-1}[/math].
>>11455845
>ax - by = 5e, where e is a positive integer
Did you leave this line in the middle of the proof on accident?
Seems alright to me, otherwise.