Suppose T: R³-R² is a linear transformation. Three vectors U₁, ₂ and 3 are given below together with their images by T. Find T(W) for the given vector W. 3 3 -15 U₁ = -1 U₂ 6 -2 U3= 1 4 1 2 1 0 T(W) = 0 W = -8 10 - [¹8] T(U₁) = T(U₂) = 20 13] T(U3) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Suppose T: R³-R² is a linear transformation. Three vectors U₁, ₂ and 3 are given below together with their images by T. Find T(W) for the given vector W.
3
3
-15
U₁ = -1 U₂
6
-2 U3= 1
4
1
2
1
0
T(W) = 0
W =
-8
10
- [¹8]
T(U₁) =
T(U₂) =
20
13]
T(U3) =
Transcribed Image Text:Suppose T: R³-R² is a linear transformation. Three vectors U₁, ₂ and 3 are given below together with their images by T. Find T(W) for the given vector W. 3 3 -15 U₁ = -1 U₂ 6 -2 U3= 1 4 1 2 1 0 T(W) = 0 W = -8 10 - [¹8] T(U₁) = T(U₂) = 20 13] T(U3) =
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