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## Homework Statement

Not really homework, but thought this might be the best place to get a quick answer.

**Question**

Calculate g^{ca}g{ab} for the FLRW metric.

I would have thought this would be

[itex]

g^{ca}g{ab}=\delta^c_b=4

[/itex]

I thought 4 because I assumed there should be "1" for each non-zero element in the metric tensor g_{ab}.

Apparently however it should be g^{ca}g_{ab}=1

Can anyone please explain why?