Problem 5. L(x) = Let Let L: R³ [L] = -1 3 0 0 5 4 → R³ be the linear transformation defined by 1 5 -4 X. B = C = {(0, -1, 1), (0, 0, 1), (1, 1, 0)), be two different bases for R³. Find the matrix [L] for L relative to the basis B in the domain and C in the codomain. {(2,-1,-1), (-2, 0, 1), (1, -1,0)},
Problem 5. L(x) = Let Let L: R³ [L] = -1 3 0 0 5 4 → R³ be the linear transformation defined by 1 5 -4 X. B = C = {(0, -1, 1), (0, 0, 1), (1, 1, 0)), be two different bases for R³. Find the matrix [L] for L relative to the basis B in the domain and C in the codomain. {(2,-1,-1), (-2, 0, 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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![Problem 5.
L(x) =
Let
3
Let L: R³ → R³ be the linear transformation defined by
B =
с =
[L] =
−1 3
5
0
4
0
{(2,-1,-1), (-2, 0, 1), (1,-1,0)),
{(0, -1, 1), (0, 0, 1), (1, 1, 0)),
be two different bases for R3³. Find the matrix [L] for L relative to the basis B3 in the domain and C in the codomain.
1
5 X.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F78580911-b826-4ea5-85a6-0435f2036ac5%2F697092d1-4161-4fc9-bfa9-811e2e4de31a%2F0luvjn_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 5.
L(x) =
Let
3
Let L: R³ → R³ be the linear transformation defined by
B =
с =
[L] =
−1 3
5
0
4
0
{(2,-1,-1), (-2, 0, 1), (1,-1,0)),
{(0, -1, 1), (0, 0, 1), (1, 1, 0)),
be two different bases for R3³. Find the matrix [L] for L relative to the basis B3 in the domain and C in the codomain.
1
5 X.
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