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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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QUESTION 5 The following are Vectors in R³ v₁ = (1,3,4), v₂ = (2,−1,1), V3 = (-3,5, a² - 2), V₁ = (4,2, a + 4) When a is real number A. For which of the following values of a the set (₁234) Span at R³? B. For which of the following values of a the group {₁,2,3} is in the base of R³? C. For which of the following values of a the vector V4 is a linear combination of the vectors V₁, V₂, V3 ? We Will set a= -1 write V4 as a linear combination of the vectors V₁ V2 V3
Transcribed Image Text:QUESTION 5 The following are Vectors in R³ v₁ = (1,3,4), v₂ = (2,−1,1), V3 = (-3,5, a² - 2), V₁ = (4,2, a + 4) When a is real number A. For which of the following values of a the set (₁234) Span at R³? B. For which of the following values of a the group {₁,2,3} is in the base of R³? C. For which of the following values of a the vector V4 is a linear combination of the vectors V₁, V₂, V3 ? We Will set a= -1 write V4 as a linear combination of the vectors V₁ V2 V3
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