= Consider two bases B = {u₁, u₂} and B' = {V₁, V₂} for a certain vector space V. Assume that u₁ = 4v₁ + V2 and u2 = −6v₁ + V2. If w = ¤ 3u₁ + u2, what is [w]B?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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=
Consider two bases B = {u₁, u₂} and B' =
{V₁, V₂} for a certain
vector space V. Assume that u₁ = 4v₁ + V2 and u2 = −6v₁ + V2.
If w
=
¤ 3u₁ + u2, what is [w]B?
Transcribed Image Text:= Consider two bases B = {u₁, u₂} and B' = {V₁, V₂} for a certain vector space V. Assume that u₁ = 4v₁ + V2 and u2 = −6v₁ + V2. If w = ¤ 3u₁ + u2, what is [w]B?
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