Suppose T: R-→R° is a linear transformation. Let U and V be the vectors given below, and and T(V) are as given. Find T(2U-V). –10 -3 U = 3 V= T(U) = T(V) = -1 -2 -2 T(2U-V) = | 0

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 52E: Let T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.
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Suppose T: R2-→R° 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(2U-V).
10
-3
T(U) =| 5
1
U =
V =
T(V) =
-1
-2
T(2U-V) = | 0
Transcribed Image Text:Suppose T: R2-→R° 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(2U-V). 10 -3 T(U) =| 5 1 U = V = T(V) = -1 -2 T(2U-V) = | 0
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