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. 2 T(V)= -6 4 U = 4-8 0 V= 1 T(U) = -2 4

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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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.
-2
2
' ਘਰ
V :
T(I) = 4
-6
2
-2
4
u
T
=
X
y
=
0
0
0
=
1
-3
-
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. -2 2 ' ਘਰ V : T(I) = 4 -6 2 -2 4 u T = X y = 0 0 0 = 1 -3 - T(V) = =
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