Hi,
to anyone that knows tricks of determinant evaluation how would you do these questions?
i) factorise
| 1 1 1 |
| x y z |
|x^3 y^3 z^3 |
ii) deduce the factors of
| 1 1 1 1 |
| x y z w |
|x^2 y^2 z^2 w^2 |
|x^4 y^4 z^4 w^4 |
I'm actually tutoring this course at Uni of Queensland and the lecturer's solutions are less than illuminating so I'd like to have something helpful to show the kids on monday.
If anybody needs reminding of properties of determinants, reply and I'll put up some quick notes.
thanks,
Martin
to anyone that knows tricks of determinant evaluation how would you do these questions?
i) factorise
| 1 1 1 |
| x y z |
|x^3 y^3 z^3 |
ii) deduce the factors of
| 1 1 1 1 |
| x y z w |
|x^2 y^2 z^2 w^2 |
|x^4 y^4 z^4 w^4 |
I'm actually tutoring this course at Uni of Queensland and the lecturer's solutions are less than illuminating so I'd like to have something helpful to show the kids on monday.
If anybody needs reminding of properties of determinants, reply and I'll put up some quick notes.
thanks,
Martin