 |
| ||
| |||
|
| Math Central | Quandaries & Queries |
|
Question from muele, a student: Find matrix A such that A is not invertible, and b such that Ax=b has a unique solution |
Hint: This is clearly not possible over a field, where invertibility is equivalent to the triviality of the nullspace.
The canonical example of a ring that is not a field is the integers.
Good Hunting!
RD
| ||
| ||
| ||
 |
 |
|
Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.