Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
o] 10. 7 3x + 2y || 5 -7 3 21 -9 -15 17 50

o] 10. 7 3x + 2y || 5 -7 3 21 -9 -15 17 50

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question

Number 10

1-14 GAUSS ELIMINATION Solve the linear system given explicitly or by its augmented matrix. Show details. 1. 4x6y=-11 3. 5. 7. 9. 11. - 3x + 8y 9 8y + 6z = -6 -2x + 4y - 6z = 40 13 12 -6 -4 7 -73 157 11 x + y = 2 = 2 -1 4 4 10 - 13 4 1 0 6 -2y2z = -8 3x + 4y - 5z = 13 0 5 5 -10 -3 -3 1 1 Z = 1 0 -2 0 0 6 2. [3.0 4. 6. 8. 10. 0 2 -2 4 1.5 4 5 -9 4 -1 3 5 -0.5 4.5 1 -15 -3 2x 3x + 2y -8 0 1 0.6 2 -5 6.0 2 -1 5 3 16 -21 -6 1 4y + 3z = 8 z = 2 = 5 4 -7 3 21 -9 2 7 17 50 12. 13. 14. -3 1 2 -2 4 3 -6 -3w 2 w + 8w 3 -1 2 10x + 4y 17x + x + y 34x + 16y 3 1 5 3 -7 y + 0 5 0 - 11 10z = 1 5 -2 5 1 - 1 3 4 2 -7 15. Equivalence relation. By definition, an equivalence relation on a set is a relation satisfying three conditions: (named as indicated) (i) Each element A of the set is equivalent to itself (Reflexivity). (ii) If A is equivalent to B, then B is equivalent to A (Symmetry). 0 15 –4 -3 2z = 2z = = 0 -4 2 6 4 (iii) If A is equivalent to B and B is equivalent to C, then A is equivalent to C (Transitivity). Show that row equivalence of matrices satisfies these three conditions. Hint. Show that for each of the three elementary row operations these conditions hold.
Transcribed Image Text:1-14 GAUSS ELIMINATION Solve the linear system given explicitly or by its augmented matrix. Show details. 1. 4x6y=-11 3. 5. 7. 9. 11. - 3x + 8y 9 8y + 6z = -6 -2x + 4y - 6z = 40 13 12 -6 -4 7 -73 157 11 x + y = 2 = 2 -1 4 4 10 - 13 4 1 0 6 -2y2z = -8 3x + 4y - 5z = 13 0 5 5 -10 -3 -3 1 1 Z = 1 0 -2 0 0 6 2. [3.0 4. 6. 8. 10. 0 2 -2 4 1.5 4 5 -9 4 -1 3 5 -0.5 4.5 1 -15 -3 2x 3x + 2y -8 0 1 0.6 2 -5 6.0 2 -1 5 3 16 -21 -6 1 4y + 3z = 8 z = 2 = 5 4 -7 3 21 -9 2 7 17 50 12. 13. 14. -3 1 2 -2 4 3 -6 -3w 2 w + 8w 3 -1 2 10x + 4y 17x + x + y 34x + 16y 3 1 5 3 -7 y + 0 5 0 - 11 10z = 1 5 -2 5 1 - 1 3 4 2 -7 15. Equivalence relation. By definition, an equivalence relation on a set is a relation satisfying three conditions: (named as indicated) (i) Each element A of the set is equivalent to itself (Reflexivity). (ii) If A is equivalent to B, then B is equivalent to A (Symmetry). 0 15 –4 -3 2z = 2z = = 0 -4 2 6 4 (iii) If A is equivalent to B and B is equivalent to C, then A is equivalent to C (Transitivity). Show that row equivalence of matrices satisfies these three conditions. Hint. Show that for each of the three elementary row operations these conditions hold.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS