- #1
jakey
- 51
- 0
How do we show that, given a matrix $A$, the sign of the determinant is positive or negative depending on the orientation of the rows of A, with respect to the standard orientation of $R^n$?
Isn't that the very definition of "the rows making up the columns of A have the same (res. the opposite) orientation as the standard basis" ?
If not, write the definition of orientation. you're using.