If T:R² R³ is a linear transformation and the action of T on the special vectors U and V is as given, find a formula for T(X), where X is any vector in R². -10 "-AV-™-?] T(U) = 7 T(V) = 10 4 u T = -8 3

Elementary Linear Algebra (MindTap Course List)
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 4CM
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If T:R²→R³ is a linear transformation and the action of T on the special vectors U and V is as
given, find a formula for T(X), where
X is any vector in R².
-10
[13]
10
4
-3
-4
u
¹] V-3]
=
=
-2
-3
T
X
[1]
=
0
T(U)= 7
T(V) =
Transcribed Image Text:If T:R²→R³ is a linear transformation and the action of T on the special vectors U and V is as given, find a formula for T(X), where X is any vector in R². -10 [13] 10 4 -3 -4 u ¹] V-3] = = -2 -3 T X [1] = 0 T(U)= 7 T(V) =
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