Let B = {v1; v2; v3; v4} be a set of vectors in R, and let A be the matrix made by using the four vectors as column vectors. Given thatdet(A) + 0 which of the following statements is correct? Select one: O a. B is linearly independent, but not necessarily a spanning set of R. O b. None of the above: all are false. O c. B is a basis of R4. O d. B is a spanning set, but not necessarily linearly independent in R4.

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
Let ß = {v1; v2; v3; v4} be a set of vectors in R, and let A be the matrix made by using the four vectors as column vectors. Given thatdet( A) 0,
which of the following statements is correct?
Select one:
O a. B is linearly independent, but not necessarily a spanning set of R.
O b. None of the above: all are false.
O c. B is a basis of R4.
O d. B is a spanning set, but not necessarily linearly independent in R.
Transcribed Image Text:Let ß = {v1; v2; v3; v4} be a set of vectors in R, and let A be the matrix made by using the four vectors as column vectors. Given thatdet( A) 0, which of the following statements is correct? Select one: O a. B is linearly independent, but not necessarily a spanning set of R. O b. None of the above: all are false. O c. B is a basis of R4. O d. B is a spanning set, but not necessarily linearly independent in R.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Matrix Factorization
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
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,