Let Let L: R³ R³ be the linear transformation defined by [L]B = B с = = L(x) = 5 -3 0 0 -2 -4 -2 5 -4 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. X. {(2, 1, 1), (-2, -2, −1), (1, 1, 0)}, {(0, -1, -1), (0, −2, −1), (1, 1, 0)},

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 43E: Let T:P2P3 be the linear transformation T(p)=xp. Find the matrix for T relative to the bases...
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Let
Let L: R³ R³ be the linear transformation defined by
[L]B =
B
с =
=
L(x)
=
5
-3 0
0
-2 -4
-2 5 -4
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.
X.
{(2, 1, 1), (-2, -2, −1), (1, 1, 0)},
{(0, -1, -1), (0, −2, −1), (1, 1, 0)},
Transcribed Image Text:Let Let L: R³ R³ be the linear transformation defined by [L]B = B с = = L(x) = 5 -3 0 0 -2 -4 -2 5 -4 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. X. {(2, 1, 1), (-2, -2, −1), (1, 1, 0)}, {(0, -1, -1), (0, −2, −1), (1, 1, 0)},
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