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e Lab Handout- x ME18 Lab Hancout x PD Cnline PDF Convert How lo lesch YourComew

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Question

e Lab Handout- x ME18 Lab Hancout x PD Cnline PDF Convert How lo lesch YourComework AssignSolving linear syste x Solve System of in C Solvec: The arcuit g secure https:// ean c edu bbcswebdav pid 2953366 dt content rid 16406328 1/course ME 018 4,01 17U/ ME 018 001 16F Imported ontent 2016081 0075251/ME18%20Lab%207962829 29.pdf ME18 Lab Handout 31 5 63 Arrange the ystem of equations sieh that the solution vector i -1x m )Electrical Cirewits A common problem in electrical engineering involves determining the curmrents and voltages at various locations in a resistor circuit. Such problems are solved using Kirchhoff s current und v laws. The current law states that the algebraic sum of all currents entering a node must he zero. The voltage law states that the algehraic sum of the voltage changes in any circuit loop must equal zero. Application of these rules resalts in a system of simaltaneous linear algebraic equations because the various loops within a circuit are coupled For the circuit sbown, Kirchhoffs current law applied at the four nodes (2-5) yields s 1-0 1 50 7 s0 Application of tdhe voltage law to the two loops gives 200 6 where Ry is the resistance hetween node i andj. Determine the curent (amperes) flowing in each of the six resistors 132 Arrange the system of equations sach that the solution vector is r = Amp Hw6zip Show all 11:30 PM 7/19/2017 Type: here to search

Explanation / Answer

Image that provide in your question not visible properly.I can explain it my own example.I am providing one example matlab program as well.

consider equations as x1+2x2+x4=5

x1+5x2+4x4=7

then B=constants of equations.i.e,which are right side of '=' and it is a column matrix.only one column present.

A=m*n matrix ;where m=no.of equations and n=no.of 'x ' terms.in above example it is 4 like(x1,x2,x3,x4)

To fill 'A' matrix we have to write coefficients of ' X' terms of each equation.

in above example 2X4 matrix

A=[1 2 0 4

      1 5 0 4]

B=[5

     7]

PROGRAM

syms x y z
eqn1 = 2*x + y + z ==2;
eqn2 = -x + y - z ==3;
eqn3 = x + 2*y + 3*z == -10;
[A,B] = equationsToMatrix([eqn1, eqn2, eqn3], [x, y, z])       #function used to convert equations to matrix.
X = linsolve(A,B)                                                                  #function used to solve A-I.B