Let [f] = Let f: R2 R² be the linear transformation defined by →>> = 30 B = {(1, 1), (-1,0)}, {(1, -2), (-3, 7)}, 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. C f(x) = [ [33] ² =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 27E
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Let
[f] =
Let f: R² → R² be the linear transformation defined by
{(-1, 1), (-1,0)},
{(1, -2), (-3,7)},
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
f(x) = [
=[83]*
-2
B
с
=
=
Transcribed Image Text:Let [f] = Let f: R² → R² be the linear transformation defined by {(-1, 1), (-1,0)}, {(1, -2), (-3,7)}, 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 f(x) = [ =[83]* -2 B с = =
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