Suppose T: R³-R² 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. 1 2 2 u = |-1 -2 U3= -1 0 T(W) = 0 0 U₂ 4 W = -1 -10 T(U₁) = 2 [3] T(U₂) = 4 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, U₂ and U3 are given below together with their images by T. Find T(W) for the given vector W.
2
4
ਜਨਮ ਲਿ ਆਮ
11 = 1 12 = -2 | 13 = -1 W =
-1
-1
-10
0
T(W) = 0
T(11) =
T(U2) =
4
T(13)
=
Transcribed Image Text:Suppose T: R³-R² 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. 2 4 ਜਨਮ ਲਿ ਆਮ 11 = 1 12 = -2 | 13 = -1 W = -1 -1 -10 0 T(W) = 0 T(11) = T(U2) = 4 T(13) =
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