2 Let f R2 R² be the linear transformation defined by : Let be two different bases for R². a. Find the matrix [f]) / for ƒ relative to the basis B. b. Find the matrix [f] C for f relative to the basis C. [f] = O 4 f(x) = B = C = x. {(1, 1), (−2, −1)}, {(-1,-1), (3,2)},

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.CR: Review Exercises
Problem 22CR: Let T be a linear transformation from R2 into R2 such that T(1,1)=(2,3) and T(0,2)=(0,8). Find...
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2
Let f R2 R² be the linear transformation defined by
:
Let
be two different bases for R².
a. Find the matrix [f]) / for ƒ relative to the basis B.
b. Find the matrix [f] C for f relative to the basis C.
[f] =
O
4
f(x) =
B
=
C
=
x.
{(1, 1), (−2, −1)},
{(-1,-1), (3,2)},
Transcribed Image Text:2 Let f R2 R² be the linear transformation defined by : Let be two different bases for R². a. Find the matrix [f]) / for ƒ relative to the basis B. b. Find the matrix [f] C for f relative to the basis C. [f] = O 4 f(x) = B = C = x. {(1, 1), (−2, −1)}, {(-1,-1), (3,2)},
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