Suppose T: R² R³ is a linear transformation. Three vectors U₁, U₂ and U3 are given below together with their images by T. Find T(W) for the given vector W. [-13] T(U3) = -12 8 U₁ = T(W) = U₂ = 3 -9 U3 = 2 W = -8 21 -8 T(U₁) = -7 5 -24 T(U₂) = -21 15
Suppose T: R² R³ is a linear transformation. Three vectors U₁, U₂ and U3 are given below together with their images by T. Find T(W) for the given vector W. [-13] T(U3) = -12 8 U₁ = T(W) = U₂ = 3 -9 U3 = 2 W = -8 21 -8 T(U₁) = -7 5 -24 T(U₂) = -21 15
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Suppose T: R² R³ is a linear transformation. Three vectors U₁, U₂ and U3 are given below together with their images by T. Find T(W) for the given vector W.
-8
-13
T(U3) = -12
T(U₁) = -7
5
8
3
«-«-«-
U₂
=
=
1
-3
0
T(W) = 0
0
-9
U3
=
2
-5
W =
-8
21
-24
T(U₂)
T(U₂) = -21
15
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