Determine if the linear system 2₁ + 2x₂ = 3 4x₂ == 0 is in echelon form. First choose which of the following statements are correct. If there is more than one reason why the system is not in echelon form, type the letters as a comma separated list. If the system is in echelon form, make sure to type D as your answer. A. The system is not in echelon form because a variable is the leading variable of two or more equations. B. The system is not in echelon form because the system is not organized in a descending "stair step" pattern so that the index of the leading variables increases from the top to bottom. C. The system is not in echelon form because not every equation has a leading variable. D. The system is in echelon form. Correct Letter(s) If the system is in echelon form, also identify the leading variables and the free variables in the corresponding answer blanks below. Type x1 and x2 to enter the variables ₁ and 2 and separate multiple variables by using a comma. If the system is in echelon form and no such variable exist, type none. If the system is not in echelon form, type NA in both answer blanks. Leading variable(s): Free variable(s):

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
Determine if the linear system
*
-21 + 2x₂ = 3
422 = 0
is in echelon form.
First choose which of the following statements are correct. If there is more than one reason why the system is not in echelon form, type the letters as a comma separated list. If the system is in echelon form,
make sure to type D as your answer.
Free variable(s):
A. The system is not in echelon form because a variable is the leading variable of two or more equations.
B. The system is not in echelon form because the system is not organized in a descending "stair step" pattern so that the index of the leading variables increases from the top to bottom.
C. The system is not in echelon form because not every equation has a leading variable.
D. The system is in echelon form.
Correct Letter(s):
If the system is in echelon form, also identify the leading variables and the free variables in the corresponding answer blanks below. Type x1 and x2 to enter the variables ₁ and 2 and separate multiple
variables by using a comma. If the system is in echelon form and no such variable exist, type none. If the system is not in echelon form, type NA in both answer blanks.
Leading variable(s):
Transcribed Image Text:Determine if the linear system * -21 + 2x₂ = 3 422 = 0 is in echelon form. First choose which of the following statements are correct. If there is more than one reason why the system is not in echelon form, type the letters as a comma separated list. If the system is in echelon form, make sure to type D as your answer. Free variable(s): A. The system is not in echelon form because a variable is the leading variable of two or more equations. B. The system is not in echelon form because the system is not organized in a descending "stair step" pattern so that the index of the leading variables increases from the top to bottom. C. The system is not in echelon form because not every equation has a leading variable. D. The system is in echelon form. Correct Letter(s): If the system is in echelon form, also identify the leading variables and the free variables in the corresponding answer blanks below. Type x1 and x2 to enter the variables ₁ and 2 and separate multiple variables by using a comma. If the system is in echelon form and no such variable exist, type none. If the system is not in echelon form, type NA in both answer blanks. Leading variable(s):
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 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,