Let be two different bases for R². Find the matrix [f] for f relative to the basis B3 in the domain and C in the codomain. [f] = Let f: R² R² be the linear transformation defined by = f(x) = B C = = [21] ² -3 {(1,-1), (2, -3)}, {(-1,-2), (3, 7)},

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 6E
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Let
be two different bases for R². Find the matrix [f] for f relative to the basis B3 in the domain and C in the codomain.
[f] =
Let f: R² R² be the linear transformation defined by
=
f(x) =
B
C =
=
[21] ²
-3
{(1,-1), (2, -3)},
{(-1,-2), (3, 7)},
Transcribed Image Text:Let be two different bases for R². Find the matrix [f] for f relative to the basis B3 in the domain and C in the codomain. [f] = Let f: R² R² be the linear transformation defined by = f(x) = B C = = [21] ² -3 {(1,-1), (2, -3)}, {(-1,-2), (3, 7)},
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