Let Letf: R². [ƒ1² = R² be the linear transformation defined by f(x) B C {(1,2), (3,5)}, {(1, 1), (−1, −2)}, 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. = = = -3 -2

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 44E: Let T:P2P4 be the linear transformation T(p)=x2p. Find the matrix for T relative to the bases...
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Let
[f]
Let ƒ : R² → R² be the linear transformation defined by
=
{(1,2), (3,5)},
{(1, 1), (−1, −2)},
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(x) =
B
с
=
-3
0
[23²₂ 9] +
X.
-2
=
Transcribed Image Text:Let [f] Let ƒ : R² → R² be the linear transformation defined by = {(1,2), (3,5)}, {(1, 1), (−1, −2)}, 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(x) = B с = -3 0 [23²₂ 9] + X. -2 =
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