Question

in parts a and b use gaussian elimination to solve the systems of linear equations. show...

in parts a and b use gaussian elimination to solve the systems of linear equations. show all steps.

a. x1 - 4x2 - x3 + x4 = 3

3x1 - 12 x2 - 3x4 = 12

2x1 - 8x2 + 4x3 - 10x4 = 12

b. x1 + x2 + x3 - x4 = 2

2x1 + 2x2 - 2x3 = 3

2x1 + 2x2 - x4 = 2

Homework Answers

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 the following system of linear equations. 2x1 -2x2​​​​​​​ -x3​​​​​​​ +6x4​​​​​​​ -2x5​​​=1...
Use Gaussian elimination to solve the following system of linear equations. 2x1 -2x2​​​​​​​ -x3​​​​​​​ +6x4​​​​​​​ -2x5​​​=1 x1 ​​​​​​​- x2​​​​​​​ +x3​​​​​​​ +2x4​​​​​​​ - x5​​​= 2 4x1 ​​​​​​​-4x2​​​​​​​ -5x3​​​​​​​ +7x4​​​​​​​ -x5​​​=6
3. Consider the system of linear equations 3x1 + x2 + 4x3 − x4 = 7...
3. Consider the system of linear equations 3x1 + x2 + 4x3 − x4 = 7 2x1 − 2x2 − x3 + 2x4 = 1 5x1 + 7x2 + 14x3 − 8x4 = 20 x1 + 3x2 + 2x3 + 4x4 = −4 b) Solve this linear system applying Gaussian forward elimination with partial pivoting and back ward substitution, by hand. In (b) use fractions throughout your calculations. (i think x1 = 1, x2= -1, x3 =1, x4=-1, but i...
For parts a and b, find a basis for the solution set of the homogeneous linear...
For parts a and b, find a basis for the solution set of the homogeneous linear systems. Show all algebraic steps. a. x1 + x2 + x3 = 0. x1 - x2 - x3 = 0 b. x1 + 2x2 - 2x3 + x4 = 0. x1 - 2x2 + 2x3 + x4 = 0. for parts c and d use your solutions to parts a and b to find all solutions to the following linear systems. show all algebraic...
Use a software program or a graphing utility to solve the system of linear equations. (Round...
Use a software program or a graphing utility to solve the system of linear equations. (Round your values to three decimal places. If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, set x4 = t and solve for x1, x2, and x3 in terms of t.) x1 − 2x2 + 5x3 − 3x4 = 23.3 x1 + 4x2 − 7x3 − 2x4 = 45.4 3x1 − 5x2 + 7x3 + 4x4 =...
Solve the linear systems that abides by the following rules. Show all steps. I. The first...
Solve the linear systems that abides by the following rules. Show all steps. I. The first nonzero coefficient in each equation is one. II. If an unknown is the first unknown with a nonzero coefficient in some equation, then that unknown doesn't appear in other equations. II. The first unknown to appear in any equation has a larger subscript than the first unknown in any preceding equation. a. x1 + 2x2 - 3x3 + x4 = 1. -x1 - x2...
solve the following linear system by gauss-jordan method   x1 + x2 - 2x3 + x4 =...
solve the following linear system by gauss-jordan method   x1 + x2 - 2x3 + x4 = 8 3x1 - 2x2 - x4 = 3 -x1 + x2 - x3 + x4 = 2 2x1 - x2 + x3 - 2x4 = -3
Use a software program or a graphing utility to solve the system of linear equations. (Round...
Use a software program or a graphing utility to solve the system of linear equations. (Round your values to three decimal places. If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, set x4 = t and solve for x1, x2, and x3 in terms of t.) x1 − 2x2 + 5x3 − 3x4 = 23.3 x1 + 4x2 − 7x3 − 2x4 = 45.4 3x1 − 5x2 + 7x3 + 4x4 =...
Linear Algebra find all the solutions of the linear system using Gaussian Elimination x1-x2+3x3+2x4=1 -x1+x2-2x3+x4=-2 2x1-2x2+7x3+7x4=1
Linear Algebra find all the solutions of the linear system using Gaussian Elimination x1-x2+3x3+2x4=1 -x1+x2-2x3+x4=-2 2x1-2x2+7x3+7x4=1
** Linear Programming ** max 6x1 + 10x2+9x3 + 20x4 Subject to 4x1 + 9x2 +...
** Linear Programming ** max 6x1 + 10x2+9x3 + 20x4 Subject to 4x1 + 9x2 + 7x3 + 10x4 ≤ 600 x1 + x2 +3x3 + 40x4 ≤ 400 3x1+ 4x2 + 2x3 + x4 ≤ 500 x1,x2,x3,x4 ≥ 0 List all the complementary slackness equations.
Use Gauss Elimination with partial pivoting method to find x1, x2,and x3 for the following set...
Use Gauss Elimination with partial pivoting method to find x1, x2,and x3 for the following set of linear equations. You should show all your work in details. Verify your solutions 2X1 + X2 - X3 = 1 5X1 + 2X2 + 2X3 = -4 3X1 + X2 + X3 = 5
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT