-1.8x1 +7.6x2 +3.4x3 -2.1x4 = 73.9 9.2а1 — 2.522 — 7.12з +3.6х4 3 —117.6 2.2a1 +7.9x2 +6.2x3 -8.4x4 = 56.5 -3x1 +5.6x2 –0.1x3 +1.5x4 = 58.5 Coeficientes após escalonamento: b Eq{ : 1 -8,713219 Eq, : 6,207425 Eq : 2,35522 Eq. : -1,4438 Solução: -8,713219 x2 = 6,207425 x3 = 2,35522 x4 = -1,4438

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

Apply the Partial Pivot Gauss Elimination Method to solve the linear system below. You should only make the necessary line changes for pivoting, without making additional changes. Fill in the first table below with the coefficients and independent terms of the system obtained after all the scaling steps. Note that the table is already partially filled. Also, note that the equations may not be in the same order as they were initially due to pivoting steps. The second table must be filled with the system solution. Perform calculations with 4 decimal places and rounding. Use comma as separator for fractional values ​​(Ex: 3.145 instead of 3.145).

-1.8x1 +7.6x2 +3.4x3 –2.1x4 =
73.9
9.21 —2.522 —7.12з +3.624 %3 —117.6
2.2а, +7.9г2 +6.22з — 8.4г43
-3x1 +5.6x2 –0.1x3 +1.5x4 =
56.5
58.5
Coeficientes após escalonamento:
x2
b
Eq{ :
-8,713219
1
Eq
1
6,207425
Eq :
2,35522
Eq :
-1,4438
Solução:
-8,713219
x2 =
6,207425
X3 =
2,35522
-1,4438
Transcribed Image Text:-1.8x1 +7.6x2 +3.4x3 –2.1x4 = 73.9 9.21 —2.522 —7.12з +3.624 %3 —117.6 2.2а, +7.9г2 +6.22з — 8.4г43 -3x1 +5.6x2 –0.1x3 +1.5x4 = 56.5 58.5 Coeficientes após escalonamento: x2 b Eq{ : -8,713219 1 Eq 1 6,207425 Eq : 2,35522 Eq : -1,4438 Solução: -8,713219 x2 = 6,207425 X3 = 2,35522 -1,4438
Expert Solution
Recall:

Gauss elimination method states that in order to solve a system of equations we follow the following steps:

1. We write the system in matrix form as Ax=b

2. We make every entry 0 right below the leading entries in every column

3. Now we expand the system and find the values of unknowns.

 

steps

Step by step

Solved in 2 steps with 3 images

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,