# Metric Tensors

1. Jul 2, 2013

### Philosophaie

If I have a 4x4 Covarient Metric Tensor $$g_{ik}$$.

I can find the determinant:

$$G = det(g_{ik})$$

How do I find the 4x4 Cofactor of g_ik?
$$G^{ik}$$

then $$g^{ik}=G^{ik}/G$$

Last edited: Jul 2, 2013
2. Jul 2, 2013

### Bill_K

This is just standard matrix inversion. Quoting from the Wikipedia page on "minors",