This is a Linear Algebra Problem please use Python to solve this answer

Make sure you show step by step in Python

3 A Wheatstone bridge is used to measure resistance. Show that in this circuit if the current flowing through rg is zero then r4=r2r3/r1. (To operate the device, put the unknown resistance at r4. At rg is a meter that shows the current. We vary the three resistances r1,r2, and r3-typically they each have a calibrated knob - until the current in the middle reads 0 . Then the equation gives the value of r4.)