Covariant and contravariant components

[Deadstar]

Homework Statement

Consider the two-dimensional space given by

$$ds^2 = e^y dx^2 + e^x dy^2$$

Calculate the covariant and contravariant components of the metric tensor for this
spacetime.

The Attempt at a Solution

Are the covariant components just $$e^y$$ and $$e^x$$ with the contravariant components being $$1/e^y$$ and $$1/e^x$$?

 

[fzero]

You are missing some components.

 

[dextercioby]

Both tensors have 4 components. You should come up with 8 numbers altogether.