The problem is if \$\beta= 100, V_{cc} = 9v, R_1 = 16k, R_2 = 4k, R_3 =10k, R_4 = 1k,\$ solve for \$ I_b, I_c, I_e, V_b, _c, \$ and \$ V_e.\$

I tried to write equations for each loop:

\$V_{cc} - (i_{R_{1}})·R_1 - (i_{R_{2}})·R_2 = 0 \$

\$-(i_C)·R_3 - V_{CB} + (i_{R_{1}})·R_1 = 0\$

\$-(i_E)·R_4 + (i_{R_{2}})·R_2 - V_{BE} = 0\$

\$V_{cc} - (i_C)·R_3 - V_{CE} - (i_E)·R_4 = 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?