Let Let L: R³ R³ be the linear transformation defined by be two different bases for R³. Find the matrix [L] for L relative to the basis B3 in the domain and C in the codomain. [L] = B с = L(x) = 5 0 -2 -3 -2 5 0 -4 X. -4 {(2, 1, 1), (-2,-2, -1), (1, 1, 0)}, {(0,-1,-1), (0, -2, -1), (1, 1, 0)},
Let Let L: R³ R³ be the linear transformation defined by be two different bases for R³. Find the matrix [L] for L relative to the basis B3 in the domain and C in the codomain. [L] = B с = L(x) = 5 0 -2 -3 -2 5 0 -4 X. -4 {(2, 1, 1), (-2,-2, -1), (1, 1, 0)}, {(0,-1,-1), (0, -2, -1), (1, 1, 0)},
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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![Let
Let L: R³ R³ be the linear transformation defined by
be two different bases for R³. Find the matrix [L] for L relative to the basis B3 in the domain and C in the codomain.
[L] =
B
с
=
L(x) =
5
0
-2
-3
-2
5
0
-4 X.
-4
{(2, 1, 1), (-2,-2, -1), (1, 1, 0)},
{(0,-1,-1), (0, -2, -1), (1, 1, 0)},](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F33cd9d9d-1dc7-4159-8d0c-4718c06472ec%2F5ec03e93-f640-4385-902a-f7504b319413%2F6k40jk_processed.png&w=3840&q=75)
Transcribed Image Text:Let
Let L: R³ R³ be the linear transformation defined by
be two different bases for R³. Find the matrix [L] for L relative to the basis B3 in the domain and C in the codomain.
[L] =
B
с
=
L(x) =
5
0
-2
-3
-2
5
0
-4 X.
-4
{(2, 1, 1), (-2,-2, -1), (1, 1, 0)},
{(0,-1,-1), (0, -2, -1), (1, 1, 0)},
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