Question

Consider the following system of equations. x1+2x2+2x3 − 2x4+2x5 = 5 −2x1 − 4x3+ x4 −...

Consider the following system of equations.

x1+2x2+2x3 − 2x4+2x5 = 5

−2x1 − 4x3+ x4 − 10x5 = −11

x1+2x2 − x3+3x5 = 4

1. Represent the system as an augmented matrix.

2. Reduce the matrix to row reduced echelon form. (This can be accomplished by hand or by MATLAB. No need to post code.)

3. Write the set of solutions as a linear combination of vectors in R5. (This must be accomplished by hand using the rref form found above.)

Math   Algebra   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

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
Find a basic for the null space(or kernel), NS(A), the row space, RS(A), and the column...
Find a basic for the null space(or kernel), NS(A), the row space, RS(A), and the column space (or image), CS(A). All of these can be read off of rref(A). x1+2x2+2x3 − 2x4+2x5 = 5 −2x1 − 4x3+ x4 − 10x5 = −11 x1+2x2 − x3+3x5 = 4
Consider the following system of linear equations: 2x1−2x2+4x3 = −10 x1+x2−2x3 = 5 −2x1+x3 = −2...
Consider the following system of linear equations: 2x1−2x2+4x3 = −10 x1+x2−2x3 = 5 −2x1+x3 = −2 Let A be the coefficient matrix and X the solution matrix to the system. Solve the system by first computing A−1 and then using it to find X. You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix.
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...
Find the fundamental system of solutions to the system. 2x1 − x2 + 3x3 + 2x4...
Find the fundamental system of solutions to the system. 2x1 − x2 + 3x3 + 2x4 + x5 = 0 x1 + 4x2 − x4 + 3x5 = 0 2x1 + 6x2 − x3 + 5x4 = 0 5x1 + 9x2 + 2x3 + 6x4 + 4x5 = 0.
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
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
Consider the following system of equations. x1- x2+ 3x3 =2 2x1+ x2+ 2x3 =2 -2x1 -2x2...
Consider the following system of equations. x1- x2+ 3x3 =2 2x1+ x2+ 2x3 =2 -2x1 -2x2 +x3 =3 Write a matrix equation that is equivalent to the system of linear equations. (b) Solve the system using the inverse of the coefficient matrix.
A system of linear equations is said to be homogeneous if the constants on the right-hand...
A system of linear equations is said to be homogeneous if the constants on the right-hand side are all zero. The system 2x1 − x2 + x3 + x4 = 0 5x1 + 2x2 − x3 − x4 = 0 −x1 + 3x2 + 2x3 + x4 = 0 is an example of a homogeneous system. Homogeneous systems always have at least one solution, namely the tuple consisting of all zeros: (0, 0, . . . , 0). This solution...
Duality Theory: Consider the following LP: max 2x1+2x2+4x3 x1−2x2+2x3≤−1 3x1−2x2+4x3≤−3 x1,x2,x3≤0 Formulate a dual of this...
Duality Theory: Consider the following LP: max 2x1+2x2+4x3 x1−2x2+2x3≤−1 3x1−2x2+4x3≤−3 x1,x2,x3≤0 Formulate a dual of this linear program. Select all the correct objective function and constraints 1. min −y1−3y2 2. min −y1−3y2 3. y1+3y2≤2 4. −2y1−2y2≤2 5. 2y1+4y2≤4 6. y1,y2≤0
Give augmented matrix for this system. Find all solutions to this system. Indicate all parameters. x1-x2+x3+x4=1...
Give augmented matrix for this system. Find all solutions to this system. Indicate all parameters. x1-x2+x3+x4=1 2x2+3x3+4x4=2 x1-x2+2x3+3x4=3 x1=? x2=? x3=? x4=?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT