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

Elementary Linear Algebra (MindTap Course List)
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 4CM
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Let L: R³ R³ be the linear transformation defined by
Let
[4] =
0 4 0
L(x) 5 -4 0
2 -1 -5
13
X.
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.
B = {(0,1,-1), (0, 2, -1), (1,2,-1)},
C = {(1,-1,-1), (1, -2,-1), (3, -3, -2)},
Transcribed Image Text:Let L: R³ R³ be the linear transformation defined by Let [4] = 0 4 0 L(x) 5 -4 0 2 -1 -5 13 X. 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. B = {(0,1,-1), (0, 2, -1), (1,2,-1)}, C = {(1,-1,-1), (1, -2,-1), (3, -3, -2)},
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