Question

Solve using Gaussian Elimination with back subsitution: 3x(1) - 2x(2) + x(3) =3 2x(1) + 4x(2)...

Solve using Gaussian Elimination with back subsitution:

3x(1) - 2x(2) + x(3) =3

2x(1) + 4x(2) - 2x(3) = 2

4x(1) - 2x(2) - 3x(2) = -12

Homework Answers

Answer #1

system is

augmented matrix is

3 -2 1 3
2 4 -2 2
4 -2 -3 -12

convert into Row Eschelon Form...

Divide row1 by 3

1 -2/3 1/3 1
2 4 -2 2
4 -2 -3 -12


Add (-2 * row1) to row2

1 -2/3 1/3 1
0 16/3 -8/3 0
4 -2 -3 -12


Add (-4 * row1) to row3

1 -2/3 1/3 1
0 16/3 -8/3 0
0 2/3 -13/3 -16


Divide row2 by 16/3

1 -2/3 1/3 1
0 1 -1/2 0
0 2/3 -13/3 -16


Add (-2/3 * row2) to row3

1 -2/3 1/3 1
0 1 -1/2 0
0 0 -4 -16


Divide row3 by -4

1 -2/3 1/3 1
0 1 -1/2 0
0 0 1 4

from the last row

from the second row

.

.

from the first row

.

.

.

solution is

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Use Gaussian Elimination to solve and show all steps: 1. (x+4y=6) (1/2x+1/3y=1/2) 2. (x-2y+3z=7) (-3x+y+2z=-5) (2x+2y+z=3)
Use Gaussian Elimination to solve and show all steps: 1. (x+4y=6) (1/2x+1/3y=1/2) 2. (x-2y+3z=7) (-3x+y+2z=-5) (2x+2y+z=3)
solve the equations a). 4x-(-3x-3) =2x +1-1/2x+1 b) 8x-x^2=2 solvee by completing square c) x-2x^2=5 solve...
solve the equations a). 4x-(-3x-3) =2x +1-1/2x+1 b) 8x-x^2=2 solvee by completing square c) x-2x^2=5 solve by quadraticformula
Consider the linearly independent set of vectors B= (-1+2x+3x^2+4x^3+5x^4, 1-2x+3x^2+4x^3+5x^4, 1+2x-3x^2+4x^3+5x^4, 1+2x+3x^2-4x^3+5x^4, 1+2x+3x^3+4x^3-5x^4) in P4(R), does...
Consider the linearly independent set of vectors B= (-1+2x+3x^2+4x^3+5x^4, 1-2x+3x^2+4x^3+5x^4, 1+2x-3x^2+4x^3+5x^4, 1+2x+3x^2-4x^3+5x^4, 1+2x+3x^3+4x^3-5x^4) in P4(R), does B form a basis for P4(R) and why?
Use either Gaussian Elimination with back substituting or Gauss-Jordan Elimination to solve the system:    −?1...
Use either Gaussian Elimination with back substituting or Gauss-Jordan Elimination to solve the system:    −?1 + ?2 + 2?3 = 1 2?1 + 3?2 + ?3 = −2 5?1 + 4?2 + 2?3 = 4
Solve using elimination method: x-2y+3z =4 2x-y+z = -1 4x + y + z = 5...
Solve using elimination method: x-2y+3z =4 2x-y+z = -1 4x + y + z = 5 What is z in the solution?
Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan elimination. (If there is no...
Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan elimination. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, express x1, x2, and x3 in terms of the parameter t.) 2x1 + 3x3 = 3 4x1 − 3x2 + 7x3 = 4 8x1 − 9x2 + 15x3 = 13 (x1, x2, x3) = ()
Solve the system using Gaussian elimination. State whether the system is? independent, dependent, or inconsistent. 3x-y+2z=5...
Solve the system using Gaussian elimination. State whether the system is? independent, dependent, or inconsistent. 3x-y+2z=5 x+y-4z=6
solve for x using the factor theorem and long division. a. 2x^3-3x^2-5x+6=0   b. 8x^3+4x^2-18x-9=0   c. 2x^3+10x^2+13x+5=0  ...
solve for x using the factor theorem and long division. a. 2x^3-3x^2-5x+6=0   b. 8x^3+4x^2-18x-9=0   c. 2x^3+10x^2+13x+5=0   d. -2x^3-12x^2+x+60=0
Solve each system by elimination. 1) -x-5y-5z=2 4x-5y+4z=19 x+5y-z=-20 2) -4x-5y-z=18 -2x-5y-2z=12 -2x+5y+2z=4 3) -x-5y+z=17 -5x-5y+5z=5...
Solve each system by elimination. 1) -x-5y-5z=2 4x-5y+4z=19 x+5y-z=-20 2) -4x-5y-z=18 -2x-5y-2z=12 -2x+5y+2z=4 3) -x-5y+z=17 -5x-5y+5z=5 2x+5y-3z=-10 4) 4x+4y+z=24 2x-4y+z=0 5x-4y-5z=12 5) 4r-4s+4t=-4 4r+s-2t=5 -3r-3s-4t=-16 6) x-6y+4z=-12 x+y-4z=12 2x+2y+5z=-15
Solve the system of equations using matrices. Use the Gaussian elimination method with​ back-substitution. {3a -...
Solve the system of equations using matrices. Use the Gaussian elimination method with​ back-substitution. {3a - b -3c = 13 {2a - b + 5c = -5 {a + 2b - 5c = 10 Use the Gaussian elimination method to obtain the matrix in​ row-echelon form. Choose the correct answer below. The solution set is {(_,_,_,_)}
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT