For the following system of equations 2x1 -X2 + X3 15 2x1- x3-3 3X1 + 6X2-2x3...
(Has to be done by hand) HW10P1 (12 points) For the following system of equations 3x1 - x2 + 4x3 = -9 -4x, + x2 + 2xy = -4 2x1 + x3 = 0 a. (2 pts) Write the linear system in the format, A x = b. b. (2 pts) Find the determinant of the matrix A by using an expansion along row 1. c. (2 pts) Find the determinant of the matrix A by using an expansion along...
HW10P1 (14 points) For the following system of equations 2x1 x30 3x1 -x2 +4x3--8 4x 2 2x5 a. b. c. d. e. (2 pts) write the linear system in the format, A X b. (2 pts) Find the determinant of the matrix A by using an expansion along row 1 (2 pts) Find the determinant of the matrix A by using an expansion along column 2. (2 pts) Find the determinant of the matrix A by using an expansion along...
2. Solve the following linear systems of equations by writing the system as a matrix equation Ax = b and using the inverse of the matrix A. (You may use a calculator or computer software to find A-1. Or you can find A-1 by row-reduction.) 3x1 – 2x2 + 4x3 = 1 x1 + x2 – 2x3 = 3 2x1 + x2 + x3 = 8 321 – 2x2 + 4x3 = 10 X1 + x2 – 2x3 = 30...
Solve the following system of equations using LU decomposition with partial pivoting:2x1−6x2–x3=−38,−3x1–x2+6x3=−34,−Solve the following system of equations using LU decomposition with partial pivoting:2x1−6x2–x3=−38,−3x1–x2+6x3=−34,−8x1+x2−2x3=−40
1. 3x1 - 2x2 + x3 = -10 2x1 + 6x2 - 4x3 = 44 -x1 – 2x2 + 5x3 = -26 a. Solve the set of equations above with Gauss elimination. b. Solve the set of equations above with Gauss-Jordan method.
2x1 + 4x2 + 7x3 c1: x1 +x2 +x3 ≤ 105 c2: 3x1 +4x2 +2x3 ≥ 310 c3: 2x1 +4x2 +4x3 ≥ 330 x1,x2,x3 ≥ 0 The problem was solved using a computer program and the following output was obtained variabel value reduced cost allowable increase decrease x1 0.0 -3.5 3.5 inf x2 55 0 5 7 x3 60 0 inf 5 constraint slack/surplus dual price 1 0 10 2 0 -2 3 95 0 Constraint right-hand side sensitivity constraint...
1. (45 pts) Given the following system of linear equations: Xi – X2 + x3 = X 1 + x2 + 6x3 = —2x1 + 8x2 + 4x3 = 3 (a) (3 pts) Write it in the form of Ax = b (b) (12 pts) Find all solutions of the system using Gauss elimination method. Write your answer as a column vector. (c) (4 pts) Use matrix multiplication to check your answer if possible. (d) (10 pts) Use Cramer's rule...
Solve both A and B using Gauss-Jordan elimination 2x1+ 5x2+ 2x3-5。3x1+2xī4x3-3x4-82 2x1- X2+2x3+2x4 11
Solve the following system of equations using Gauss-Seidel method. 3x1 +6x2 +2x3 = 9 12% + 7x2 +3x,-17 2x, +7x2 -11x, 49 Conduct 3 iterations. Calculate the maximum absolute relative approximate error at the end of each iteration, and Choose [x, ]-l 3 5las your initial guess.
Solve the following system of linear equations: 3x1+6x2−9x3+6x4 = 6 −x1−2x2+8x3+3x4 = −17 2x1+4x2−3x3+7x4 = −4 If the system has no solution, demonstrate this by giving a row-echelon form of the augmented matrix for the system. You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix.