pre-heat the oven to 350f degrees and butter/line a 8x8" pan

melt white chocolate - i used the 'melt chocolate' setting on my microwave

in a stand mixer fitted with the paddle attachment, beat cream cheese & sugar on medium speed until smooth, stopping to scrape the bowl with a spatula the bowl as needed

sift in the matcha, and beat for a few more mins

crack and slide in the egg to the mixer, beat to combine

pour in the melted white chocolate, beat some more to combine finally

in a medium saucepan, melt butter over medium heat. Turn heat to low, add chocolate & stir until just melted.

turn off the heat & whisk in the sugar until combined. whisk in eggs, vanilla, flour, arrowroot powder, cocoa powder & salt; whisk until well combined.

portion about 90% of brownie batter into the prepared pan. Add the matcha to the top of the brownie layer and smooth out evenly.

add the remaining 10% of the brownie batter to the top of the matcha layer in tablespoon dollops. Use the tip of a paring knife to swirl the brownie batter & matcha cheesecake into a marbled pattern.

bake the brownies on the center rack for 30 minutes, or until a cake tester comes out clean.

let them cool completely

slice and serve!