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d. a specific element of R° that is not in V. е. a specific element of v in V for which -v is not in V.

d. a specific element of R° that is not in V. е. a specific element of v in V for which -v is not in V.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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i need help with d and e

Consider the set V of all real triples of the form (a, b, c) where c = a - 2b under the usual vector addition and scalar multiplication of R3. This same candidate for a Vector Space (or Subspace of R°) is used in the next question Give the following (fill in the blanks) examples of 3-tuples in V as requested. Write your answers as comma-delimited triples using parentheses. For ease in reading, place a space after each comma. If no such requested element exists, write the word "none" in the box (no quotation marks). a. a specific element of V whose fırst and third components are the same: b. a specific element of V whose third component is 6. C. a non-zero specific element of V whose second component is -1. d. a specific element of R3 that is not in V. е. a specific element of v in V for which -v is not in V.
Transcribed Image Text:Consider the set V of all real triples of the form (a, b, c) where c = a - 2b under the usual vector addition and scalar multiplication of R3. This same candidate for a Vector Space (or Subspace of R°) is used in the next question Give the following (fill in the blanks) examples of 3-tuples in V as requested. Write your answers as comma-delimited triples using parentheses. For ease in reading, place a space after each comma. If no such requested element exists, write the word "none" in the box (no quotation marks). a. a specific element of V whose fırst and third components are the same: b. a specific element of V whose third component is 6. C. a non-zero specific element of V whose second component is -1. d. a specific element of R3 that is not in V. е. a specific element of v in V for which -v is not in V.
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