Shapefile or KML from 2d Matrix

I created a two-dimensional matrix (720, 1440) of global temperatures based on 0.5 degree latitude/longitude. I'd like to make a projected shapefile or kml from this that I can import into ArcPro or similar GIS platform. I have the mapping toolbox and access to shapewrite but I'm not exactly sure how to accomplish the task.

Any idea would be greatly appreciated.

[John Cruce]

Bumping this question from last week. Essentially, I'm wanting to convert a matrix of values referenced by lat/long to a GIS-friendly shapefile, perhaps using shapewrite. Does anyone have any experience doing this?