Page 1 of 9 Qi Use the method of elimination to solve the following linear system...
Use elimination method to solve the linear system Xi + 2x2-4x3-9 4. 2-x3-2
solving using Gaussian elimination method to solve the questions above 1. Solve the following systems of linear equations using Gaussian elimination method. a) 3z 9 x 5y 2z 2 1 3 *+2y = 3 b) x+y 0 2x y+3z3 x-2y -z 3 c) xy+z 9 2x +4y-3z= 1 3x+6y 5z= 0 e) 2xz w 5 y-w-1 3x z-w 0 4x +y+ 2z +w 9 2. How many gallons of each of a 60 % acid solution and an 80 %...
Use the Gaussian elimination method to solve each of the following systems of linear equations. In each case, indicate whether the system is consistent or inconsistent. Give the complete solution set, and if the solution set is infinite, specify three particular solutions. 1-5x1 – 2x2 + 2x3 = 14 *(a) 3x1 + x2 – x3 = -8 2x1 + 2x2 – x3 = -3 3x1 – 3x2 – 2x3 = (b) -6x1 + 4x2 + 3x3 = -38 1-2x1 +...
3 Linear systems 18. Solve the linear system of equations using the Naive Gauss elimination method x,+x: + x) = 1 +2x, +4x1 x 19. Solve the linear system of equations using the Gauss elimination method with partial pivoting 12x1 +10x2-7x3=15 6x, + 5x2 + 3x3 =14 24x,-x2 + 5x, = 28 20. Find the LU decomposition for the following system of linear equations 6x, +2x, +2, 2 21. Find an approximate solution for the following linear system of equations...
1 (a) Employ the method of Gaussian elimination to solve the system of linear equations x+2y + 22= 4, 2x + y- z=-1 (b) State Cramer's rule for the solution of systems of linear equations, and use it to calculate the solution of the system of equations in (a)
Solve the system of equations using matrices. Use Gauss-Jordan elimination. 5) 5) -2x-y-5z =-38 4x + 2y-2z= 28 4x-5y + z=-16 A) ((-5, 8, 10) D) ((10, 8,-5) B) (5, 8,4)) C) (5, 4,8) Solve the system of equations using matrices. Use Gauss-Jordan elimination. 5) 5) -2x-y-5z =-38 4x + 2y-2z= 28 4x-5y + z=-16 A) ((-5, 8, 10) D) ((10, 8,-5) B) (5, 8,4)) C) (5, 4,8)
Solve the following system of linear equations by using the inverse matrix method X+Y+Z=4 -2X-Y+3Z=1 Y+5Z=9
1) Solve the following system of linear equations using a Gauss Elimination Method (5 pts) 5x1 + 5x2 + 3x3 = 10 3x1 + 8x2 – 3x3 = -1 4x1 + 2x2 + 5x3 = 4
2,3, 6, 7 1. Without matrices, solve the following system using the Gaussian elimination method + 1 + HP 6x - Sy- -2 2. Consider the following linear system of equation 3x 2 Sy- (a) Write the augmented matrix for this linear system (b) Use row operations to transform the augmented matrix into row.echelon form (label all steps) (c) Use back substitution to solve the linear system. (find x and y) x + 2y 2x = 5 3. Consider the...
Solve the system of equations using matrices. Use the Gaussian elimination method with back-substitution. 4x + 4y + 8z = 16 4x + 3y + 62 = 12 4x + 8y + 20z = 28 The solution set is {000)}. (Simplify your answers.)