Question 1 In a given electrical network, the equations for the currents i,,iz, i, are given...
Question 1 In a given electrical network, the equations for the currents i,, i ,, are given by 4, +1, +4ig = 0 2i, -i, + is = 5.4 4 +2i, - i = 9.2 Use Gaussian elimination method to evuate the three currents. (10 marks)
Related to maths In a given electrical network, the equations for the currents .., are given by +1 +11,0 21 - ₂ + 1 = 5.4 4+21,-1= 9.2 Use Gaussian elimination method to evaluate the three currents (10 mark Question 2 The matrix A of the system 1X = AX is given by 10 A=3 4 0 2 2 (a) Find the eigenvalues of A. (8 m (b) Determine the corresponding eigenvectors of A. (12 m 36 weet nhunted States
Related to maths Use Gaussian elimination method to evaluate the three currents. Question 2 The matrix A of the system AX = 2X is given by 10-1 A = 31 4 0 2 2 (a) Find the eigenvalues of A. (b) Determine the corresponding eigenvectors of A. in United States
Given the system of linear equations 5?1 + 2?2 + ?3 = 45 −2?1 + ?2 − 3?3 = −4 4?1 − ?2 + 8?3 = 2 a. Write the augmented matrix b. Solve the system by Gaussian elimination & backward substitution method.
dx = 1. (10pts) 3. Given the system of linear equations 5x1 + 2x2 + x3 = 45 -2x, + x2 – 3x3 = -4 (5pts) 4xy – X2 + 8x2 = 2 Write the augmented matrix b. Solve the system by Gaussian elimination & backward substitution method. 21 a. 30
5. Figure 5 shows an electrical network, i) obtain the differential equations of the network and nofind the transfer function F(s) show that the same transfer function is obtained 12(s)/Vin(s); ii) Analyse the circuit in the s-domain and R. C i2(t) Vin(t) L Figure 5. Electrical Network 4. Find the transfer function X2(s)/F(s) of the spring-mass system shown in Figure 4. The system moves over a frictionless surface. h M2 M1 Figure 4. A 2 DOF spring-mass system over a...
1. (a) Express the following system of equations in augmented matrix form. 2x - 4y + 5z = 9 x + 3y + 8z = 41 6x + y - 3z = 25 (2 marks) (b) Use Gaussian elimination to solve the system of equations. (6 marks)
1. (a) Express the following system of equations in augmented matrix form. 2x - 4y + 5z = 9 x + 3y + 8z = 41 6x + y - 3z = 25 (2 marks) (6) Use Gaussian elimination to solve the system of equations. (6 marks) 2. Given that a matrix A: 18 A= 1 8 -1 4 -1 -1 -1 8 (a) Determine AT. (6) Calculate the det (A). (2 marks) (6 marks) 3. Refer to the graph...
How to use the previous answer of 1 a) i ii iii to find the eigenvalue from iv Mock Exam 2019 SEM 1 1. (a) Given the system of linear equations x- 2y +2z= 1, 2x+y+ 5z = 7, 2x-9y3z = -3 i. Write the system in augmented matrix form [A -b) and apply Gaussian elimination to reduce this to row echelon form. ii. Identify the basic and free variables iii. Write down the solution space for this system of...
Use Gaussian elimination method to solve the following system of linear equations. 7x +10y+5:-4 13x+6y +2:-31 Ilx+14y+8:-63 (10 marks)
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