$5)$ In the circuit below, the current $(\backslash (\backslash$mathbf$\{$I$\}\_\{1\}\backslash ))$ is going into the node $($located near $\backslash (\backslash$mathbf$\{$R$\}\_\{1\}\backslash )),$ current $(\backslash (\backslash$mathbf$\{$I$\}\_\{2\}\backslash ))$ is going out the node $($located near $\backslash (\backslash$mathbf$\{$R$\}\_\{2\}.\backslash ).$ in the middle$),$ and current $(\backslash (\backslash$mathbf$\{$I$\}\_\{3\}\backslash ))$ is coming out of the node $($located near $\backslash (\backslash$mathbf$\{$R$\}\_\{3\}\backslash$ldots $\backslash )$ on the right side$).$ The loop is going from positive to negative in the left side and negative to positive on the right side.

YOU DO NOT NEED THE NUMBERS... SO IGNORE THEM

a$)$ Using the matrix technique SHOWN IN CLASS $\backslash$& the PRACTICE HOMEWORK...

$-$ Find the determinate for the entire circuit

$\backslash (>\backslash )$ SET$-$UP THE MATRIX FIRST

$\backslash (>\backslash )$ Now solve it for the Determinate $[$demominator$]$

b$)$ Find $\backslash (\backslash$mathrm$\{$I$\}\_\{1\}\backslash )$ ONLY a$)$ Using the matrix technique SHOWN IN CLASS $\backslash$& the PRACTICE HOMEWORK...

$-$ Find the determinate for the entire circuit

$\backslash (>\backslash )$ SET$-$UP THE MATRIX FIRST

$\backslash (>\backslash )$ Now solve it for the Determinate $[$demominator$]$

b$)$ Find $\backslash (\backslash$mathrm$\{$I$\}\_\{1\}\backslash )$ ONLY

$-$ You do not need to solve for $\backslash (\backslash$mathrm$\{$I$\}\_\{2\}\backslash )$ nor $\backslash (\backslash$mathrm$\{$I$\}\_\{3\}\backslash )$

$\backslash (>\backslash )$ Set$-$up the matrix for this answer

$\backslash (>\backslash )$ Solve it for the numerator $[$top part of the $\backslash (\backslash$mathrm$\{$I$\}\_\{1\}\backslash )$ ratio$]$

$\backslash (>\backslash )$