constant a = 2, b = 2. Directions: Answer each question as completely as possible. Justify your solutions. 1. Solve the following homogeneous system: x1 + x2 + 2x3 + x4 + x5 = 0 bx1 − x2 + x3 + 2x4 + 5x5 = 0 x1 + 3x2 + 4x3 + 3x4 + 3x5 = 0

Q: Solve the following system of linear equations: 3x1−3x2+6x3  =  −9 −3x1+6x2−9x3  =  12 2x1+x2+2x3…

A: A system of linear equations can be solved by Gauss-elimination method , Gauss-jordan method ,…

Q: a. Solve the linear system: 3х + 2 у = 14 12 x + 13 y + 6z = 40 - 3x + 8 y + 9z = -28 - by the LU…

A: We have to solve the linear system by the LU factorization method.…

Q: Use the LU factorization method to solve the following system 8x, – 3x, + 2x, = 20 4x +11x, -x3 = 33…

A: The solution is given as

Q: 2. Solve the system: in F11. 2x + 5y x + 3y = = 1 9

A:

Q: -3.x+9y+6z = 18 -2x – 3y + 2z = -8 4.x + 6y – 4z = 68

A:

Q: V5 x + V3y = 14V3 |V3x – 2V5 y = -2V5

A: Given, System of equation  5x + 3y = 143                         ..............(1) 3x -25y = -25…

Q: solve each system by the substitution method  {4x+3y=0 and 2x-y=0

A: Given query is to find the solution of the system using substitution.

Q: Find all solutions of the system 1.35x - 2.13y = -2.36 2.16x + 0.32y 1.06 %3D

A: Consider the given equation as 1.35x-2.13y=-2.36...(1)  And 2.16x+0.32y=1.06...(2)

Q: B: Solve the following system of equations X-y+z=2, 2x+3y-=5, xty-z-0.

A:

Q: Use the LU factorization method to solve the following system 8x, – 3.x, +2x, = 20 4x, +11x, - x3 =…

A:

Q: Solve the system +2x3 +2x4 16 -4x3 -3x4 -29 x2 113 -2x2 +15x3 +12x4 +4x3 3x1 +9x4 41 -x2 X3 = ||||

A:

Q: Solve the system of equations. x- 3y-2z = -2 x+2y+2z = 9 2x+5y-z =-3 %3D

A: Given,           The system of equations are              x-3y-2z=-2              x+2y+2z=9…

Q: Solve the following system of equation. Write your answer or general solution as an ordered triple…

A:

Q: Solve each system using substitution or elimination. y = -2x - 9 y = -3 y = x + 1 8x - 7y = -5 32)…

A:

Q: x+3y+5z=20 2x+3y+4z =16 %3D x+2y+3z =12

A:

Q: Solve each system {x+3y+5z=20 and y−4z=−16 and 3x−2y+9z=36

A: This is a problem related to solving system of linear equation.  Please follow the procedure given…

Q: Solve the following system of linear equations: -4w + 16y - 24z = -8 -9w+x+42y - 61z = -22 8w + 4x -…

A: Sol:-- -4w+16y-24z=-8-9w+x+42y-61z=-228w+4x-15y+41z=78w-2x-35y+42z=15Arrange equation variables for…

Q: Solve the system -2x-9y=-4 3y-3z=0 6x-6z=1

A: From 3y-3z=0 if we factor out 3 then 3(y-z)=0Or, y-z=0Or, y=z

Q: linear equations:

A:

Q: Solve the system (4x+10y = -11 y = 12 - 6x using substitution.

A: Given: System of the equations: 4x+10y=-11, y=12-6xTo find: The solution of the given system using…

Q: Solve the linear system 2x y =2 I+3z D-3 y- = 4 and enter the value of r + y + z below.

A: See the detailed solution below.