If C is 6x6 and the equation Cx= v is consistent for every v in R, is it possible that for some v, the equation Cx= v has more than one solution? Why or why not? Select the correct choice below. O A. It is possible because 6x6 is a square matrix, and according to the Invertible Matrix Theorem all square matrices are not invertible. Since it is not invertible, Cx = v does not have a unique solution. O B. It will depend on the values in the 6x6 matrix. According to the Invertible Matrix Theorem if any of the values are zero this makes Cx = v have more than one solution. If none of the values are zero, then Cx = v has a unique solution. C. It is possible. Since Cx = v is consistent for every v in R6, according to the Invertible Matrix Theorem that makes the 6x6 matrix not invertible. Since it is not invertible, Cx= v does not have a unique solution. OD. It is not possible. Since Cx = v is consistent for every v in R6, according to the Invertible Matrix Theorem that makes the 6x6 matrix invertible. Since it is invertible, Cx = v has a unique solution.
If C is 6x6 and the equation Cx= v is consistent for every v in R, is it possible that for some v, the equation Cx= v has more than one solution? Why or why not? Select the correct choice below. O A. It is possible because 6x6 is a square matrix, and according to the Invertible Matrix Theorem all square matrices are not invertible. Since it is not invertible, Cx = v does not have a unique solution. O B. It will depend on the values in the 6x6 matrix. According to the Invertible Matrix Theorem if any of the values are zero this makes Cx = v have more than one solution. If none of the values are zero, then Cx = v has a unique solution. C. It is possible. Since Cx = v is consistent for every v in R6, according to the Invertible Matrix Theorem that makes the 6x6 matrix not invertible. Since it is not invertible, Cx= v does not have a unique solution. OD. It is not possible. Since Cx = v is consistent for every v in R6, according to the Invertible Matrix Theorem that makes the 6x6 matrix invertible. Since it is invertible, Cx = v has a unique solution.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:If C is 6x6 and the equation Cx= v is consistent for every v in R, is it possible that for some v, the equation Cx= v has more than one
solution? Why or why not?
Select the correct choice below.
O A. It is possible because 6x6 is a square matrix, and according to the Invertible Matrix Theorem all square matrices are not invertible.
Since it is not invertible, Cx = v does not have a unique solution.
O B.
It will depend on the values in the 6x6 matrix. According to the Invertible Matrix Theorem if any of the values are zero this makes
Cx = v have more than one solution. If none of the values are zero, then Cx = v has a unique solution.
C.
It is possible. Since Cx = v is consistent for every v in R6, according to the Invertible Matrix Theorem that makes the 6x6 matrix not
invertible. Since it is not invertible, Cx= v does not have a unique solution.
OD. It is not possible. Since Cx = v is consistent for every v in R6, according to the Invertible Matrix Theorem that makes the 6x6 matrix
invertible. Since it is invertible, Cx = v has a unique solution.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
