Let Let f: R² → IR² be the linear transformation defined by be two different bases for R². Find the matrix [ for f relative to the basis B in the domain and C in the codomain. [= B с -3 5 = [3] f(z) = = {(-1,2), (2, -3)}, {(1, 1), (2,3)},

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 43E: Let T:P2P3 be the linear transformation T(p)=xp. Find the matrix for T relative to the bases...
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Let
Let f: R² → R² be the linear transformation defined by
be two different bases for R². Find the matrix [f] for f relative to the basis B in the domain and C in the codomain.
[f=
B
с
f(z)
=
=
-3 5
-1 2
z.
{(-1,2), (2, -3)},
{(1, 1), (2,3)},
Transcribed Image Text:Let Let f: R² → R² be the linear transformation defined by be two different bases for R². Find the matrix [f] for f relative to the basis B in the domain and C in the codomain. [f= B с f(z) = = -3 5 -1 2 z. {(-1,2), (2, -3)}, {(1, 1), (2,3)},
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