For the electrical circuit shown at right, with resistance and voltage values as indicated below: R1=150R3=100R5=150V1=30VR2=250R4=200V2=60V the following equations can be derived for the mesh currents ia,ib, and ic : *Note: the 'true' currents are equal to the mesh currents in the outer branches of the circuit, but 100ia+500ib150ic=0 a) Write MATLAB statements to define the necessary arrays for this system of equations, and solve for values of the mesh currents (indicate the commands and result). A=[450100200;100500150;200150350]B=[30;0;60]sol=inv(A)B;ia=0.2933Aib=0.1840Aic=0.4179A b) Calculate the residual. Does the solution appear to be valid? (Show command and result) c) Use the rref function on the augmented matrix to convert the system into reduced row echelon form (show result). Is it compatible with your solution for the mesh currents above