Afternoon all,

The question:

Let where are distinct real numbers. Show that is invertible.

How far I have got:

So there are several ways to do this from what I gather. The way I have tried is by trying to prove that where is a unique nxn matrix.

So looking at my old uni notes I have:

The next part is where I get confused because I go on to say that is invertible

Can anyone explain to me if this is correct and why it is so?

Thanks

Chris