Plotting a 2D matrix with data (lon,lat,data) on a map with a selected area

I am currently working on a project and would like to display data contained in a matrix on a map.

The matrix looks like this:

It is 208*261.

For the moment I would just like to display this data with a colorbar on the target location of the world map (North Sea). In a second step, I would like to display the countries on the map in order to have only the ocean data.

I don't know if this is possible.

Thank you for your help

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