Question

2X1-X2+X3+7X4=0 -1X1-2X2-3X3-11X4=0 -1X1+4X2+3X3+7X4=0 a. Find the reduced row - echelon form of the coefficient matrix b....

2X1-X2+X3+7X4=0

-1X1-2X2-3X3-11X4=0

-1X1+4X2+3X3+7X4=0

a. Find the reduced row - echelon form of the coefficient matrix

b. State the solutions for variables X1,X2,X3,X4 (including parameters s and t)

c. Find two solution vectors u and v such that the solution space is \
a set of all linear combinations of the form su + tv.

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
Solve the system -2x1+4x2+5x3=-22 -4x1+4x2-3x3=-28 4x1-4x2+3x3=30 a)the initial matrix is: b)First, perform the Row Operation 1/-2R1->R1....
Solve the system -2x1+4x2+5x3=-22 -4x1+4x2-3x3=-28 4x1-4x2+3x3=30 a)the initial matrix is: b)First, perform the Row Operation 1/-2R1->R1. The resulting matrix is: c)Next perform operations +4R1+R2->R2 -4R1+R3->R3 The resulting matrix is: d) Finish simplyfying the augmented mantrix down to reduced row echelon form. The reduced matrix is: e) How many solutions does the system have? f) What are the solutions to the system? x1 = x2 = x3 =
Solve the following systems by forming the augmented matrix and reducing to reduced row echelon form....
Solve the following systems by forming the augmented matrix and reducing to reduced row echelon form. In each case decide whether the system has a unique solution, infinitely many solutions or no solution. Show pivots in squares. Describe the solution set. -3x1+x2-x3=10 x2+4X3=12 -3x1+2x2+3x3=11
Solve the following system of linear equations: 3x2−9x3 = −3 x1−2x2+x3 = 2 x2−3x3 = 0...
Solve the following system of linear equations: 3x2−9x3 = −3 x1−2x2+x3 = 2 x2−3x3 = 0 If the system has no solution, demonstrate this by giving a row-echelon form of the augmented matrix for the system. If the system has infinitely many solutions, your answer may use expressions involving the parameters r, s, and t. You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix.
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
Given a LP model as:Minimize Z = 2X1+ 4X2+ 6X3 Subject to: X1+2X2+ X3≥2 X1–X3≥1 X2+X3=...
Given a LP model as:Minimize Z = 2X1+ 4X2+ 6X3 Subject to: X1+2X2+ X3≥2 X1–X3≥1 X2+X3= 1 2X1+ X2≤3 X2, X3 ≥0, X1 urs a) Find the standard form of the LP problem. b) Find the starting tableau to solve the Primal LP problem by using the M-Technique.
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...
Determine if the linear transformation is (a) one-to-one, (b) onto. T(x1,x2,x3)=(2x1 −4x2,x1 −x3,−x2 +3x3).
Determine if the linear transformation is (a) one-to-one, (b) onto. T(x1,x2,x3)=(2x1 −4x2,x1 −x3,−x2 +3x3).
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=?
Consider the following LP: Max Z=X1+5X2+3X3 s.t. X1+2X2+X3=3 2X1-X2 =4 X1,X2,X3≥0 a.) Write the associated dual...
Consider the following LP: Max Z=X1+5X2+3X3 s.t. X1+2X2+X3=3 2X1-X2 =4 X1,X2,X3≥0 a.) Write the associated dual model b.) Given the information that the optimal basic variables are X1 and X3, determine the associated optimal dual solution.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT