Consider the following system of linear algebraic equations: 7.121 + 2.9.02 + 2.2.03 + 3.3x4 =...
Consider the following system of linear algebraic equations: 6.3x1 + 3.4x2 + 1.8x3 + 4.3x4 3.8 1.5x1 + 3.0x2 + 1.3x3 + 3.3x4 2.9 2.8x1 + 1.2x2 + 3.6x3 + 2.6x4 4.0 4.3x1 + 2.0.x2 + 3.0x3 + 2.6x4 4.3 Perform the first step in Gauss elimination to eliminate xi from the second, third and forth equations, converting the system to the form given below. Fill in the blank spaces. Round up your answers to 4 decimals. 6.3x1 + 3.4x2...
Consider the following system of linear algebraic equations: 5.501 +3.222 +2.703 +1.104 = 5.0 4.501 +3.322 +4.9.13 +2.4.24 = 3.2 3.1.11 +1.4.22 +2.823 +3.0x4=2.0 2.801 +4.332 + 1.73 +1.624 = 3.3 Perform the first step in Gauss elimination to eliminate 21 from the second third and forth equations, converting the system to the form given below. Fill in the blank spaces. Round up your answers to 4 decimals. 5.5.21 +3.222 +2.723 + 1.1.4 = 5.0 12 + |a3 + 24...
Question 1 Not yet answered Marked out of 1.0000 P Flag question Consider the following system of linear algebraic equations: 7.0xı + 3.2x2 + 4.4x3 +2.6x4 = 2.4 3.1x1 +4.0x2 + 2.6x3 + 4.0x4 = 1.9 4.6x1 +2.7x2 + 4.2x3 +3.3x4 = 1.1 3.0x, +4.6x2 + 3.9x3 + 2.0x4 = 2.7 Perform the first step in Gauss elimination to eliminate x, from the second third and forth equations, converting the system to the form given below. Fill in the blank...
Tutorial 4. Linear systems of algebraic equations 2 October, 4-5 pm in FN2 (Q1) Consider this linear system of equations a. 1 p -2 0 0 0 1 0 q 0 4 2r -2 0 -1 0 4s Order the four equations such that the system of equations can be solved efficiently by Gauss elimination b. Solve the system by Gauss elimination (Q2) -1] 6 Given the linear system of equations A5 with [A| solve for i 10 and by...
Consider the system of linear algebraic equations, in which the coefficients and the constants are known to the number of significant digits shown. 4.000y - 5.000z = -8.000 3.000x - 6.000y - 2.000z = -23.00 5.000x - 1.000y = 2.000 Write and execute VBA code to solve the system of equations with the Gauss-Seidel algorithm. Let the solution be considered to have converged when consecutive estimates for all three variables differ by less than l0.00001% l.
1) Consider the system of linear algebraic equations Ax = B where | 1 1/2 1/31 1/2 1/3 1/4 11/3 1/4 1/5 a) Find x, A" and det(A) using Gauss-Jordan elimination without pivoting. b) Using the result of part (a), find the condition number of A based on the Euclidean (Frobenius) norm. How many digits of precision do you suspect are lost in the solution x due to ill-conditioning?
D | Question 3 4 pts Solve the following system of equations using Gauss-Jordan elimination: 82-5y-5z =-11 The solution of this system of equations has the form z :-az + b, y # cz + d where z can be any real number in the spaces below, put the value of a in the first blank, the value of b in the second blank, the value of c in the third blank, and the value of d in the fourth...
4. Solve the following system of linear equations using Gauss-Jordan elimination: X1 + 32 - 2x3 + 24 + 3x5 = 1 2x 1 - X2 + 2x3 + 2x4 + 6x5 = 2 3x1 + 2x2 - 4x3 - 3.24 - 9.25 = 3
3. Consider the following system of linear equations: 2.0 + 2y + 2kz = 2 kx + ky+z=1 2x + 3y + 72 = 4 (i) Turn the system into row echelon form. (ii) Determine which values of k give (i) a unique solution (ii) infinitely many solutions and (iii) no solutions. Show your working. 4. Solve the following system of linear equations using Gauss-Jordan elimination: x1 + x2 - 2.13 + 24 +3.25 = 1 2.x1 - x2 +...
1. Consider the following system of linear equations: (8 marks) x+y = 3 7 7 2 -x+z=2 y-w=1 W = 4 z + w = 4 1) Use Gauss-Jordan elimination to put the augmented matrix corresponding to this system into reduced row echelon form. Clearly show all the elementary row operations applied. (3 marks) 12 nn