= 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?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.2: Vector Spaces
Problem 38E: Determine whether the set R2 with the operations (x1,y1)+(x2,y2)=(x1x2,y1y2) and c(x1,y1)=(cx1,cy1)...
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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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