The currents i 1 , i 2 , and I 3 in the circuit shown in Figure P12 are described by the following..

The currents i
1
, i
2
, and I
3
in the circuit shown in Figure P12 are described by the following equation set if all the resistances are equal to R.
Here v
1
and v
2
are applied voltages; the other two currents can be found from
a. Use both the matrix inverse method and the matrix division method to solve for the currents in terms of the resistance R and the voltages v
1
and v
2
.
b. Find the numerical values for the currents if
and v
2
= 25 V.