The problem is if \beta = 100, Vcc = 9v, R1 = 16k, R2 = 4k, R3 =10k, R4 = 1k, solve for Ib, Ic, Ie, Vb, Vc, and Ve.

I tried to write equations for each loop:

V_cc - (i_R1)R1 - (i_R2)R2 = 0

-(i_C)R3 - V_CB + (i_R1)R1 = 0

-(i_E)R4 + (i_R2)R2 - V_BE = 0

V_cc - (i_C)R3 - V_CE - (i_E)R4 = 0

And tried to put that in matrix vector form, but ended up with a singular matrix.

What kind of approach can I use to solve this problem?