Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below. 4x₁ +4x2+8x3 = 16 - 12x₁-12x₂-24x3 = - 48 - 6x₂ + 12x3 = 12 4x1 + 4x2 + 8x3 = 0 - 12x₁-12x₂-24x3 = 0 - 6x₂ + 12x3 = 0 X₁ 4. Describe the solution set, x= x₂ , of the first system of equations in parametric vector form. Select the correct

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
Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric
comparison with the solution set of the second system of equations below.
4x₁ +4x2 + 8x3 = 16
- 12x₁-12x₂-24x3 = - 48
- 6x₂ + 12x3 = 12
X₁
Describe the solution set, x= x₂
4
X3
4x₁ + 4x2 + 8x3 = 0
- 12x₁-12x₂ - 24x3 = 0
- 6x₂ + 12x3 = 0
of the first system of equations in parametric vector form. Select the correct
choice below and fill in the answer box(es) within your choice.
(Type an integer or fraction for each matrix element.)
Transcribed Image Text:Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below. 4x₁ +4x2 + 8x3 = 16 - 12x₁-12x₂-24x3 = - 48 - 6x₂ + 12x3 = 12 X₁ Describe the solution set, x= x₂ 4 X3 4x₁ + 4x2 + 8x3 = 0 - 12x₁-12x₂ - 24x3 = 0 - 6x₂ + 12x3 = 0 of the first system of equations in parametric vector form. Select the correct choice below and fill in the answer box(es) within your choice. (Type an integer or fraction for each matrix element.)
Expert Solution
Step 1: Writing down the augmented matrix

Given the system of equations

table row cell 4 x subscript 1 plus 4 x subscript 2 plus 8 x subscript 3 end cell equals 16 row cell negative 12 x subscript 1 minus 12 x subscript 2 minus 24 x subscript 3 end cell equals cell negative 48 end cell row cell negative 6 x subscript 2 plus 12 x subscript 3 end cell equals 12 end table

Let us use Gaussian elimination to calculate the solution to the system.

The augmented matrix is

open square brackets right enclose table row 4 4 8 row cell negative 12 end cell cell negative 12 end cell cell negative 24 end cell row 0 cell negative 6 end cell 12 end table end enclose table row 16 row cell negative 48 end cell row 12 end table close square brackets

steps

Step by step

Solved in 4 steps with 19 images

Blurred answer
Similar questions
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,