After multiplying by M-1, the left-hand-side of the equation is the identity matrix times the current vector | I > . But the identity matrix times a vector is the same as the vector. So the left-hand-side of the equation is the current vector. And the right-hand-side is what appears in cells C12:C14. Thus
I1 = 0.6366 mA
I2 = 1.0169 mA
I3 = 0.0108 mA