Analyze the circuit using the mesh current method.

a$)$Indicate the direction of the current for each mesh.

b$)$Formulate the mesh equations and write the system of equations in matrix form.

c$)$Solve the system of equations you have created using the Cramer's Rule.

d$)$Show all elements of each matrix whose determinant you take.

i$)$ Try not to calculate the determinants manually. You can use a program or online solvers.

It is sufficient to write the results you find. Do not round the determinants.

e$)$ Find the currents for each mesh. If you get negative currents, redraw the circuit and show the positive directions of all currents. $($Take $3$ digits after the decimal point, pay attention to the units, do not write things like $0\mathrm{.}0000$xxx Amperes$)$

f$)$ Find the voltages across the resistors according to the indicated $+-$ signs. $($The signs of the found voltages are important, take $3$ digits after the decimal point, pay attention to the units, do not use $0\mathrm{.}0000$xxx Volts$)$

g$)$ Calculate the required power values for the resistors with a safety factor of $1\mathrm{.}5$ to prevent them from being damaged.

h$)$ Calculate the required power values for the voltage sources with a safety factor of $1\mathrm{.}5$ to prevent them from being damaged.