8. , determine conditions on the constants b, (b1, b2 etc), if any, in order to guarantee that thelinear system is consistent:x1 – 2x2 – x3 = b|-4x1 + 5x2 + 2x3 = b2-4x1 + 7x2 + 4x3 = b3

Answered: Image /qna-images/answer/1afc31a2-b26d-4e2e-9628-9e7515974a8a.jpg

Answered: 8. , determine conditions on the…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.3: Systems Of Inequalities

Problem 24E

See similar textbooks

Similar questions

Use a software program or a graphing utility to write v as a linear combination of u1, u2, u3, u4, u5 and u6. Then verify your solution. v=(10,30,13,14,7,27) u1=(1,2,3,4,1,2) u2=(1,2,1,1,2,1) u3=(0,2,1,2,1,1) u4=(1,0,3,4,1,2) u5=(1,2,1,1,2,3) u6=(3,2,1,2,3,0)
Find the set of solutions for the linear system 5x3 = 8.13 Use s1, s2, etc. for the free variables if necessary. -) (x1,x2, x3) = -2x1 4x2 4x2 -14 10
Find the set of solutions for the linear system 3x2 3x3 -10 X1 X2 4x3 -3 4x3 -8 - Use s1, s2, etc. for the free variables if necessary. (x1, X2, X3) = Neter Vou
If x1, x2 and x3 satisfy the system of equations attatched: write the value of x2+9x3 in decimal format withon 0.25 accuracy
What conditions must be satisfied by b1, b2, b3, b4, and b5 for the overdetermined linear system x1 – 7x2 = bị x1 – 6x2 = b2 = b3 - X1 + x2 = X1 – 8x2 = b4 - x1 + 9x2 = b5 to be consistent? 16 1 15 = =r + 17 8 = =r + 17 9 -s, b4 = s, b5 = r 17 bị -r + s, b2 s, b3 17 17 17 15 =-r + 17 1 = -r -+ s, b3 17 16 8. -r + 17 9 s, b4 = r, b5 = S 17 bị s, b2 17 - - 17 16 1 2 15 8 9 bị -r + s, b2 17 b3 -s, b4 = r, b5 = s Er + -r + S, 17 %D %D 17 17 17 17 8 9. 16 1 15 2 -S, , 17 9 -s, b4 = r, b5 = s 17 bị = Er +E s, b3 17 b4 = r, b5 = s -r + s, b2 -r + - - 17 17 16 17 17 1 15 2 8 Er + s, b3 17 bi =-r + s, b2 %3D %D 17 +175, b4 = r, b5 = s - 17 17 17 17
Q. (a) Find the general traffic pattern of the freeway network shown in the figure. (Flow rates are in cars/minute.) (b) Describe the general traffic pattern when the road whose flow is ?5 is closed. (c) when ?5=0, what is the minimum value of ?4? Must be done by making an augmented matrice, which requires a system of linear equations.
1. For each one of the following systems of linear equations: I) 8x1 + 3x2 12x2 + 6x3 rị + 10x3 20 30 10 II) 2x1 + x2 + 5x3 = 1 2x1 + 2x2 + 2x3 = 1 4x1 + x2 = 2 III) xị + x2 – x3 = -3 6x1 + 2x2 + 2x3 = 2 -3x1 + 4x2 + x3 = 1 (a) Use Gaussian Elimination to compute the determinants required to solve the system using Cramer's Rule. (b) Use Gaussian Elimination to compute the inverse of A. (c) Use the inverse to solve the system of equations. (d) Use Jacobi's Method to solve the system of equations. Start with a vector of l's as initial approximation, e = 10-4. It is recommended that you use Excel or write a program in Java to help you. (e) Use Gauss-Seidel's Method to solve the system of equations. Start with a vector of l's as initial approximation, e = 10-4. It is rec- ommended that you use Excel or write a program in Java to help you.
Consider the traffic flow diagram that follows, where a1, a2, a3, a4, b1, b2, b3, b4 are fixed posi- tive integers. Set up a linear system in the unknowns x1, x2, x3, x4 and show that the system will be consistent if and only if a1 + a2 + az + a4 = b1 + b2 + b3 + b4 What can you conclude about the number of automobiles entering and leaving the traffic network? TH TH b4 X1 X4 A2 X3 b3 Az

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

Intermediate Algebra

Algebra

ISBN:

9780998625720

Author:

Lynn Marecek

Publisher:

OpenStax College

SEE MORE TEXTBOOKS

8. , determine conditions on the constants b, (b1, b2 etc), if any, in order to guarantee that the linear system is consistent: x1 – 2x2 – x3 = b| -4x1 + 5x2 + 2x3 = b2 -4x1 + 7x2 + 4x3 = b3