Homework Help is Here – Start Your Trial Now!
Math
Algebra
What conditions must be satisfied by b1, b2, b3, b4, and b; for the overdetermined linear system X1 - 3x2 = bị X1 - 2x2 = b2 X1 +x2 = b3 x1 - 4x2 = b4 x1 + 5x2 = b5 %3D %3D %3D %3D to be consistent? 8 = ar + s, b2 = r + s, bz = r +s, b4 = r, b5 = s bị 9' 1 7 4 8 = -r + bị 2 7 1 s, b2 = 5 4 bz = -r 9 +g5, b4 =r, bs = 5 4 1 bz 7. = a" +S, b2 = r + = =r +-s, , b4 = r, b5 = s 2 7 bị 8 a" +S, b3 = r +-s, b4 =r, b5 = s 1 4 = -r + s, b2 = 9' 1 bi = -r + 9' 8 s, b2 =-r+ bz = 9' 5 r+ s, b4 = 5, b5 =r

What conditions must be satisfied by b1, b2, b3, b4, and b; for the overdetermined linear system X1 - 3x2 = bị X1 - 2x2 = b2 X1 +x2 = b3 x1 - 4x2 = b4 x1 + 5x2 = b5 %3D %3D %3D %3D to be consistent? 8 = ar + s, b2 = r + s, bz = r +s, b4 = r, b5 = s bị 9' 1 7 4 8 = -r + bị 2 7 1 s, b2 = 5 4 bz = -r 9 +g5, b4 =r, bs = 5 4 1 bz 7. = a" +S, b2 = r + = =r +-s, , b4 = r, b5 = s 2 7 bị 8 a" +S, b3 = r +-s, b4 =r, b5 = s 1 4 = -r + s, b2 = 9' 1 bi = -r + 9' 8 s, b2 =-r+ bz = 9' 5 r+ s, b4 = 5, b5 =r

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter10: Systems Of Equations And Inequalities
Section10.CR: Chapter Review
Problem 5CC: What operations can be performed on a linear system to arrive at an equivalent system?
See similar textbooks
icon
Related questions
Question

please help algebra

What conditions must be satisfied by b1, b2, b3, b4, and bs for the overdetermined linear system X1 - 3x2 = bị X1 - 2x2 = b2 X1 +x2 = b3 x1 - 4x2 = b4 x1 + 5x2 = bs %3D %3D %3D to be consistent? 8 = ar + s, b2 = r + s, bz = r +s, b4 =r, b5 = s bị 7 2 4 9' 8 bị = + 2 4 1 s, b2 = -r + 7 bz = -r 9 +g5, b4 =r, b5 = 5 4 = a" +S, b2 = ar + 1 bz 7. = =r +s, , b4 = r, b5 = s 9 2 -s, b2 = 8 1 r +s, b3 = r +s, b4 =r, b5 = s 4 bị 9' 9' 8 1 bj = -r + -s, b2 = -r + b3 4 r + -s, b4 = s, b5 =r
Transcribed Image Text:What conditions must be satisfied by b1, b2, b3, b4, and bs for the overdetermined linear system X1 - 3x2 = bị X1 - 2x2 = b2 X1 +x2 = b3 x1 - 4x2 = b4 x1 + 5x2 = bs %3D %3D %3D to be consistent? 8 = ar + s, b2 = r + s, bz = r +s, b4 =r, b5 = s bị 7 2 4 9' 8 bị = + 2 4 1 s, b2 = -r + 7 bz = -r 9 +g5, b4 =r, b5 = 5 4 = a" +S, b2 = ar + 1 bz 7. = =r +s, , b4 = r, b5 = s 9 2 -s, b2 = 8 1 r +s, b3 = r +s, b4 =r, b5 = s 4 bị 9' 9' 8 1 bj = -r + -s, b2 = -r + b3 4 r + -s, b4 = s, b5 =r
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS