(c) Input the linear system (the voltage drops around the first three loops are the three equations given to you above and the two equations you found above) into MATLAB as an augmented matrix. Store this matrix as A. It is recommended that the columns of your matrix are ordered in the same way as we have above (namely i1, i2,i3, i4 and v.) What is A? (d) Solve the system using the command rref. Extract the solution and store the vector as x Report x. (e) From the values above, determine the value of V (the voltage drop over the 3 resistor). Specify clearly the direction of the voltage drop, i.e. which side has a higher electric potential (voltage) (f) From the values above, determine the value of 1 (the current through the 60 resistor). Your on of I as specified in the figure. That is, I is positive if it value should agree with the directi goes upward, and negative if it goes downward. Exercise 2 Consider the following electric network. The unknowns in the circuit are the loop currents i1, i2, 13, i4 and the voltages across the current sources v1, v2. When writing your augmented matrix for this question, please keep them in that order. 2 4A 30 4 10 5 12 Figure 3: Circuit for Exercise 2 Answer the following (a) Write down the Kirchhoff Voltage equations for the four loops (c) Input the linear system (the voltage drops around the first three loops are the three equations given to you above and the two equations you found above) into MATLAB as an augmented matrix. Store this matrix as A. It is recommended that the columns of your matrix are ordered in the same way as we have above (namely i1, i2,i3, i4 and v.) What is A? (d) Solve the system using the command rref. Extract the solution and store the vector as x Report x. (e) From the values above, determine the value of V (the voltage drop over the 3 resistor). Specify clearly the direction of the voltage drop, i.e. which side has a higher electric potential (voltage) (f) From the values above, determine the value of 1 (the current through the 60 resistor). Your on of I as specified in the figure. That is, I is positive if it value should agree with the directi goes upward, and negative if it goes downward. Exercise 2 Consider the following electric network. The unknowns in the circuit are the loop currents i1, i2, 13, i4 and the voltages across the current sources v1, v2. When writing your augmented matrix for this question, please keep them in that order. 2 4A 30 4 10 5 12 Figure 3: Circuit for Exercise 2 Answer the following (a) Write down the Kirchhoff Voltage equations for the four loops