Suppose T is a linear transformation, where (1, 0, 0) (0, 1, 0) (0, 0, 1) T(u) T(5) T(w) (– 3, – 5) (- 5, – 3) (– 2, 3) Find the following: T(6ũ + 30 + 5w) = T(( – 2, – 1, 5)) = I|||

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose T is a linear transformation, where
(- 3, – 5)
(1, 0, 0)
(0, 1, 0)
(0, 0, 1)
T(ü) =
T(5)
T(w)
(- 5, – 3)
( – 2, 3)
Find the following:
T(6ü + 3v + 5w) =
T(( – 2, – 1, 5)) =
|
Transcribed Image Text:Suppose T is a linear transformation, where (- 3, – 5) (1, 0, 0) (0, 1, 0) (0, 0, 1) T(ü) = T(5) T(w) (- 5, – 3) ( – 2, 3) Find the following: T(6ü + 3v + 5w) = T(( – 2, – 1, 5)) = |
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