Let U : R? transformation given by U() = A(7), with A = 6 2, and let V : R? - –→ R? be the linear [1 51 → R² be the linear transformation given by V (7) = Bã , with B = -1 21

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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Q4
Let U : R² –→ R² be the linear
transformation given by U (a) :
A(ë), with A = 6 2, and let V :
R? → R? be the linear transformation
given by V (a) = Bỉ , with B =
Suppose T is the transformation that is
the composition of these two such that
T(7) = U(V(ữ)). Find the matrix
for T. Write your answer in the
%3D
simplest terms possible.
Transcribed Image Text:Q4 Let U : R² –→ R² be the linear transformation given by U (a) : A(ë), with A = 6 2, and let V : R? → R? be the linear transformation given by V (a) = Bỉ , with B = Suppose T is the transformation that is the composition of these two such that T(7) = U(V(ữ)). Find the matrix for T. Write your answer in the %3D simplest terms possible.
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