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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Problem 8.
Let L: R³
transformation defined by
Let
B
C
=
[L] B
=
L(x)
=
R³ be the linear
4
= 1
3
21
5 3 X.
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.
{(-2, 1, 1), (2,0, -1), (-1,-1,0)},
{(1, −1, 1), (−1, 2, −1), (−1, 3, —2)},
Transcribed Image Text:Problem 8. Let L: R³ transformation defined by Let B C = [L] B = L(x) = R³ be the linear 4 = 1 3 21 5 3 X. 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. {(-2, 1, 1), (2,0, -1), (-1,-1,0)}, {(1, −1, 1), (−1, 2, −1), (−1, 3, —2)},
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