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Problem 1. Show that the vectors form a basis of R³. Write a general vector V = B in R³ as a linear combination of this basis. What are the coordinates of v relative to the basis V₁, V₂, V3?

Problem 1. Show that the vectors form a basis of R³. Write a general vector V = B in R³ as a linear combination of this basis. What are the coordinates of v relative to the basis V₁, V₂, V3?

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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.giffgaff Problem 1. Show that the vectors 22:52 Photo ← V₁ = -1, V₂ = form a basis of R³. Write a general vector -8 V V3 = لك DO 37% in R³ as a linear combination of this basis. What are the coordinates of v relative to the basis V₁, V2, V3? Done
Transcribed Image Text:.giffgaff Problem 1. Show that the vectors 22:52 Photo ← V₁ = -1, V₂ = form a basis of R³. Write a general vector -8 V V3 = لك DO 37% in R³ as a linear combination of this basis. What are the coordinates of v relative to the basis V₁, V2, V3? Done
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