Let f: R² → R² be the linear transformation defined by Let be two different bases for R². a. Find the matrix [f] for f relative to the basis B. [f] B [f] = 6 [1]8 -5 b. Find the matrix [f] for f relative to the basis C. = 6 -5 -13 6 9 c. Find the transition matrix [1] from C to B. -5 -13 9 -13 9 30 f(x) B = с = = 4 18 {(1, 1), (-1,-2)}, {(1, 2), (2,-5)},
Let f: R² → R² be the linear transformation defined by Let be two different bases for R². a. Find the matrix [f] for f relative to the basis B. [f] B [f] = 6 [1]8 -5 b. Find the matrix [f] for f relative to the basis C. = 6 -5 -13 6 9 c. Find the transition matrix [1] from C to B. -5 -13 9 -13 9 30 f(x) B = с = = 4 18 {(1, 1), (-1,-2)}, {(1, 2), (2,-5)},
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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kindly answer it i posted this question already and got answer but that was rong please dont copy thay one i only need final answer no need for working
![Let f: R² → R² be the linear transformation defined by
Let
be two different bases for R².
a. Find the matrix [f] for f relative to the basis B.
[f] B
[f] =
6
[1]8
-5
b. Find the matrix [f] for f relative to the basis C.
=
6
-5
-13
6
9
c. Find the transition matrix [1] from C to B.
-5
-13
9
-13
9
30
f(x)
B =
с =
=
4
18
{(1, 1), (-1,-2)},
{(1, 2), (2,-5)},](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee90a7fb-7266-4256-b9c2-b191812d4139%2F4b0e9be7-3a0c-4bc2-bd04-8c21d2861d5b%2F8ewwz1_processed.png&w=3840&q=75)
Transcribed Image Text:Let f: R² → R² be the linear transformation defined by
Let
be two different bases for R².
a. Find the matrix [f] for f relative to the basis B.
[f] B
[f] =
6
[1]8
-5
b. Find the matrix [f] for f relative to the basis C.
=
6
-5
-13
6
9
c. Find the transition matrix [1] from C to B.
-5
-13
9
-13
9
30
f(x)
B =
с =
=
4
18
{(1, 1), (-1,-2)},
{(1, 2), (2,-5)},
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