Let Letf: R² 51²= R² be the linear transformation defined by 2 - [3 3] x x. f(x) = B C = = {(-1,-2), (-1,-1)}, {(-1,-1), (-3,-4)}, be two different bases for R². Find the matrix [ƒ] for f relative to the basis B in the domain and C in the codomain.
Let Letf: R² 51²= R² be the linear transformation defined by 2 - [3 3] x x. f(x) = B C = = {(-1,-2), (-1,-1)}, {(-1,-1), (-3,-4)}, be two different bases for R². Find the matrix [ƒ] for f relative to the basis B in the domain and C in the codomain.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Let
Letƒ : R² → R² be the linear transformation defined by
[f] =
ƒ(x) = |
fG
−1
=
3
2
−1
B
{(−1, −2), (−1,−1)},
C = {(-1,-1), (-3,-4)},
be two different bases for R². Find the matrix [ƒ] for ƒ relative to the basis B in the domain and C in the codomain.
x.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7d084809-1178-4503-9f07-a3e1167e0479%2F2f68a311-1c5c-4c4b-ad48-0f8f84f80f8a%2Fgfmfgum_processed.png&w=3840&q=75)
Transcribed Image Text:Let
Letƒ : R² → R² be the linear transformation defined by
[f] =
ƒ(x) = |
fG
−1
=
3
2
−1
B
{(−1, −2), (−1,−1)},
C = {(-1,-1), (-3,-4)},
be two different bases for R². Find the matrix [ƒ] for ƒ relative to the basis B in the domain and C in the codomain.
x.
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