Show that in the vector space R³ the vectors x = (1, 2, -1), y = (3, 1, 1), and z = (5, -5,7) are linearly dependent by finding scalars a and 3 such that ax + y + z = 0. Answer: a = " B =
Show that in the vector space R³ the vectors x = (1, 2, -1), y = (3, 1, 1), and z = (5, -5,7) are linearly dependent by finding scalars a and 3 such that ax + y + z = 0. Answer: a = " B =
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![Show that in the vector space R³ the vectors x = (1, 2, -1), y = (3, 1, 1), and z = (5, -5,7)
are linearly dependent by finding scalars a and 3 such that ax + y + z = 0.
Answer: a =
2
B =
В](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4db116e-4a51-4c51-b081-a6fe0eccdf12%2F4b5fbfd9-4735-4093-86e8-28f994f54e13%2Fmr0exe7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Show that in the vector space R³ the vectors x = (1, 2, -1), y = (3, 1, 1), and z = (5, -5,7)
are linearly dependent by finding scalars a and 3 such that ax + y + z = 0.
Answer: a =
2
B =
В
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