Suppose T: R2 R³ is a linear transformation. Let U and V be the vectors given below, and suppose that T(U) and T(V) are as given. Find T(U+2V). u = 3 V = 0 T(U+2V) = 0 0 -3 T(U)= 10 PR - 11 T(V) = -12 12

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Suppose T: R2 R³ is a linear transformation. Let U and V be the vectors given below, and suppose that T(U) and
T(V) are as given. Find T(U+2V).
u =
3
V =
0
T(U+2V) = 0
0
-3
3
T(U)=
10
29
- 11
T(V) =
-12
12
Transcribed Image Text:Suppose T: R2 R³ is a linear transformation. Let U and V be the vectors given below, and suppose that T(U) and T(V) are as given. Find T(U+2V). u = 3 V = 0 T(U+2V) = 0 0 -3 3 T(U)= 10 29 - 11 T(V) = -12 12
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