Let two bases for a two dimensional space be {U₁, U₂} {V1, V2}. Say we have the coordinate of a vector w w.r.t S, hence we have [w]s = [an] such that S = T = W = a₁u₁ + a2u₂. What is the coordinate vector of w w.r.t. T?

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter2: Basic Linear Algebra
Section2.4: Linear Independence And Linear Dependence
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Let two bases for a two dimensional space be
{U₁, U₂2}
{V1, V2}.
Say we have the coordinate of a vector w w.r.t S, hence we have
[w]s = [
such that
S
T =
=
a1
a2
W = a₁U₁ + a2u₂.
What is the coordinate vector of w w.r.t. T?
Transcribed Image Text:Let two bases for a two dimensional space be {U₁, U₂2} {V1, V2}. Say we have the coordinate of a vector w w.r.t S, hence we have [w]s = [ such that S T = = a1 a2 W = a₁U₁ + a2u₂. What is the coordinate vector of w w.r.t. T?
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