Question

Solve the following using Gauss-Jordan elimination: x +y + z = 6, 6x +5y + 2z...

Solve the following using Gauss-Jordan elimination: x +y + z = 6, 6x +5y + 2z = 31, 4x + y -8z = 9

Math   Algebra   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

The augmented matrix for the above system of equations is

Convert the above matrix into reduced row echelon form

The above is a reduced row echelon form. From above, x and y are Pivot Variables and z is a free variable implies x and y can be expressed in terms of z

Therefore, the solution is

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Solve the system of linear equations using the Gauss-Jordan elimination method x − 5y = 24...
Solve the system of linear equations using the Gauss-Jordan elimination method x − 5y = 24 4x + 2y = 8 (x, y) =
Solve the following system by Gauss elimination: x + 2y?z = 22 x + 5y?2z =...
Solve the following system by Gauss elimination: x + 2y?z = 22 x + 5y?2z = ?17 x + 17y + 5z = ?1. Solve the system in from above by using Cramer’s rule. First discuss the applicabililty of Cramer’s rule to the system.
3x+2y=2,6x+4y=1, 5y+z=-1 solve system of eq using gauss jordan or gauss elimination
3x+2y=2,6x+4y=1, 5y+z=-1 solve system of eq using gauss jordan or gauss elimination
1. Solve by via Gauss-Jordan elimination: a) 2y + 3z = 8         2x + 3y +...
1. Solve by via Gauss-Jordan elimination: a) 2y + 3z = 8         2x + 3y + z = 5         x − y − 2z = −5 b) x + 3y + 2z = 5           x − y + 3z = 3        3x + y + 8z = 10 c) 3x1 + x2 + x3 + 6x4 = 14          x1 − 2x2 + 5x3 − 5x4 = −7        4x1 + x2 + 2x3 + 7x4 = 17
1)Solve the system of linear equations, using the Gauss-Jordan elimination method. (If there is no solution,...
1)Solve the system of linear equations, using the Gauss-Jordan elimination method. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answer in terms of the parameters t and/or s.) x1 + 2x2 + 8x3 = 6 x1 + x2 + 4x3 = 3 (x1, x2, x3) = 2)Solve the system of linear equations, using the Gauss-Jordan elimination method. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express...
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 using either Gaussian elimination with back-substitution or Gauss-Jordan elimination.If the system has an...
Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan elimination.If the system has an infinite number of solutions, express x, y, and z in terms of the parameter t.) 3x + 3y + 9z = 6 x + y + 3z = 2 2x + 5y + 15z = 10 -x + 2y + 6z = 4 (x, y, z) = ?
Use Gauss-Jordan Elimination to solve the following system of equations. 2x − 2y = 1 6x...
Use Gauss-Jordan Elimination to solve the following system of equations. 2x − 2y = 1 6x − 8y = −2
Use Gauss-Jordan Elimination to solve the following system of equations. −4x + 8y + 4z =...
Use Gauss-Jordan Elimination to solve the following system of equations. −4x + 8y + 4z = −4 −3x + 6y + 3z = −3 x − 2y − z = 1
Figure out the point of intersection of the three planes using the Gauss-Jordan elimination method: 2x...
Figure out the point of intersection of the three planes using the Gauss-Jordan elimination method: 2x - 5y - 4z = -9 3x + 9y+ 8z= -10 8x - 3y - 11z = 43
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT