(Section 5.3) i. Show that the vectors v₁ = (1, 2, 3, 4), №₂ = (0, 1, 0, −1), and v3 = (1,3,3,3) form a linearly dependent set in IR". ii. Express each vector in part i. as a linear combination of the other two. Prove that if {v₁, №₂, √3} is a linearly independent set of vectors, then so are (v₁,v3), and {₂}. a. b.
(Section 5.3) i. Show that the vectors v₁ = (1, 2, 3, 4), №₂ = (0, 1, 0, −1), and v3 = (1,3,3,3) form a linearly dependent set in IR". ii. Express each vector in part i. as a linear combination of the other two. Prove that if {v₁, №₂, √3} is a linearly independent set of vectors, then so are (v₁,v3), and {₂}. a. b.
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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