I only need number 4 Figure 2 3. Consider the network in Figure 2. Write down a system of equations which could be u...
4. Consider the following system of three equations: x - y = 3 y-2= 1 x + 2 = 4 a) (2 points} Fill in the following spaces for it an augmented matrix for the above system. E-FIEL b) (2 points each} Starting with the augmented matrix, perform the following operations in order: R₂-2, R₂ ogmented matrix 11 R₃-R₂ →R 1 11. & R₂ R₃ 11 215
Write the system of equations corresponding to the augmented matrix. Then perform the row operations R1 = - 4r2 + 17 and R3 = 212 +13 on the given augmented matrix 9-611-6 2-4 3-6 - 4 15 5 Which of the following is the system of equations corresponding to the augmented matrix? OA. 9x-6y + 1 = -6 OB. 19x-6y +z = -6 2x - 4y +3 = -6 2x - 4y + 3z = -6 | - 4x +...
Qustion 2.120 marks) a) Figure I below shows a system with plant-I and plant-2 connected to bus-1 and bus-2 respectively. There are two loads and 3 branches. The bus-I is the reference bus with 1.040° pu voltage. Base MVA is 100 If the branch currents and branch impedance values are as follows -2.5-j0.50pu -2-j040 pu I 1.5-j0.3 pu Calculate: 7-0.05+j0.20 pu -0.02+j0.08 pu Z 0.025+j0.10 pu i. Current distribution factors (4 marks) ii. Power factor angles at bus 1 and...
Swinburne University of Technology U&F MTH20013 Linear Algebra & Application Q.2 3+1+3-7 Marks Write the augmented matrix corresponding to equivalent system equations (obtained using Kirchhoff's Law) arising from electric circuit. Find currents is, i2 and is by using matrix method and Gaussian eliminations. -6vR1 40 Loop 1 E2 10V R2 80 13 Loop 2 R3 120
Question 1 In a given electrical network, the equations for the currents i,,iz, i, are given by 4+₂ +4i₂ = 0 2i, - iz + z = 5.4 i, +2i, - i = 9.2 Use Gaussian elimination method to evduate the three currents. (10 marks) Question 2 The matrix A of the system AX = AX is given by (10-1 A = 3 1 4 02 2
explanation too Problems 7-11: The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution. State the solution in vector parametric form. In your augmented matrix, draw a vertical line that represents the equal sign, label all columns of the augmented matrix, and before each new row, write the operations that give you that new row and show the scratch work on the same page...
1. CP1 (20 pts) Consider the system of linear equations X1 + x2 + x3 = 1 X1 - x2 + x3 = 3 - X1 + x2 + x3 = -1 a) (3 pts) Provide the Augmented matrix A for this system. b) (9 pts) Find the Row-Echelon Form (AREF) of the Augmented matrix. c) (2 pts) How many solutions does the system have? d) (6 pts) Based on the steps in part b), express Aref as a product...
A system of equations was written as an augmented, which was row reduced to: - 0 1 0 4. 1 What is the solution to the original system of equations? = y = 2= Question Help: Message instructor Check Answer Find the reduced row echelon form of this augmented matrix: 1 0 1 350 - 4 1 - 4 - 4 250 2 0 3 150 Question Help: Message instructor Check Answer
4) Find the value of each resistor for the network of the Figure below. ER 120 v ŽRT 32R 5) For the network of the Figure below (a) Find the currents I, and 14. (b) Calculate the voltages V, and V3. 10 R; = 272 E60 R22707 1 2) For the network in the Figure below (a) Determine the current I. (b) Calculate the currents 12 and 13. (c) Determine the voltage level Va. E = 20 V RX30 TO...
can someone help me solve these question? thanks!!! 4. Find the general solution of the system whose augmented matrix is given by 1 -3 0 0-2 (a) 0 1 0 0 -1 0 0 0 94 1 3 -2 0 20 0 2 6 -5 -2 4-3-1 0 0 5 10 0 15 5 May 16, 2019, 4:48 2 6 08418 6 4. Find the general solution of the system whose augmented matrix is given by 1 -3 0 0-2...