Suppose A is the matrix for T: R³ R³ relative to the standard basis. Find the diagonal matrix A' for T relative to the basis B'. → A' = A = 1 2 000 ESTE FM|N|N|N - 5 2 3 2 -2 2 2 B' = {(1, 1, 1), (1, -1, 1), (-1, 1, 1)} 1

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Suppose A is the matrix for T: R³ R³ relative to the standard basis. Find the diagonal matrix A' for T relative to the basis B'.
→
A' =
A =
1
2
000
ESTE
FM|N|N|N
I
5
2
3
2
1
-2
2
B' = {(1, 1, -1), (1, -1, 1), (-1, 1, 1)}
2
Transcribed Image Text:Suppose A is the matrix for T: R³ R³ relative to the standard basis. Find the diagonal matrix A' for T relative to the basis B'. → A' = A = 1 2 000 ESTE FM|N|N|N I 5 2 3 2 1 -2 2 B' = {(1, 1, -1), (1, -1, 1), (-1, 1, 1)} 2
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