Let Let L: R³ R³ be the linear transformation defined by [L]8 = 5 -6 0 L(x) = B = C = 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. 0 1 -5 -4 -2 X. -3 {(1, 1, 1), (1, 0, 1), (-2, 0, -1)}, {(-1,-1, 1), (1, 2, -1), (0, -2, 1)},
Let Let L: R³ R³ be the linear transformation defined by [L]8 = 5 -6 0 L(x) = B = C = 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. 0 1 -5 -4 -2 X. -3 {(1, 1, 1), (1, 0, 1), (-2, 0, -1)}, {(-1,-1, 1), (1, 2, -1), (0, -2, 1)},
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
[L]B
L(x) =
=
[5 -5 -4
6:
0 0 -2 X.
B
с
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.
1 -5 -3
{(1, 1, 1), (1, 0, 1), (−2, 0, -1)},
{(-1,-1, 1), (1, 2, -1), (0, -2, 1)},](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F99d39a54-7451-4975-bf07-83fb2d3bea67%2Fba9d80b9-56e9-4acd-a3ba-412416fdf05f%2Fnbv19ew_processed.png&w=3840&q=75)
Transcribed Image Text:Let
Let L: R³ R³ be the linear transformation defined by
[L]B
L(x) =
=
[5 -5 -4
6:
0 0 -2 X.
B
с
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.
1 -5 -3
{(1, 1, 1), (1, 0, 1), (−2, 0, -1)},
{(-1,-1, 1), (1, 2, -1), (0, -2, 1)},
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