Let ) Let f: R² R² be the linear transformation defined by [f]] -2 4 >= [3³² $]* X. -5 f(x) = {(1, 1), (-2,-1)}, {(-1,2), (2,-5)}, be two different bases for R2. Find the matrix [f] for f relative to the basis in the domain and in the codomain. =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let
) Let f : R² → R2 be the linear transformation defined by
[f]8 =
-2
r=[34]*
f(x)
5
-5
{(1,1),(-2,-1)},
{(-1,2), (2,-5)},
be two different bases for R 2. Find the matrix [f] for f relative to the basis in the domain and in the codomain.
=
x.
=
Transcribed Image Text:Let ) Let f : R² → R2 be the linear transformation defined by [f]8 = -2 r=[34]* f(x) 5 -5 {(1,1),(-2,-1)}, {(-1,2), (2,-5)}, be two different bases for R 2. Find the matrix [f] for f relative to the basis in the domain and in the codomain. = x. =
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