# Determinant and trace

1. Apr 10, 2014

### spookyfish

Hi. I am reading a physics text, and in one of the lines it uses the following relation:
$$\mathrm{det}(\delta^\mu_\lambda +\frac{\partial \delta x^\mu}{\partial x^\lambda}) = 1 + \mathrm{Tr}\frac{\partial \delta x^\mu}{\partial x^\lambda}$$
where $\mu$ and $\lambda$ are matrix elements, and $\delta^\mu_\lambda$ is Kronecker's delta. I am trying to derive this, but I am not sure how. Help will be appreciated

Last edited: Apr 10, 2014
2. Apr 10, 2014

### micromass

Staff Emeritus
3. Apr 10, 2014

### spookyfish

Hi. You are right... Thank you!