Suppose T: R3¬R² 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(-3U-3V). 27 T(V) = 22 15 U= 1 V = 2 T(U) = -69 -3 T(-3u-3V) = 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 44E: Let T:P2P4 be the linear transformation T(p)=x2p. Find the matrix for T relative to the bases...
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Question 5
Suppose T: R3→R² 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(-3U-3).
[-5
T(U) =
V =
27
T(V) =
22
-15
U = 1
2
-9
-3
T(-3U-3V) =0
%3D
0,
Transcribed Image Text:Question 5 Suppose T: R3→R² 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(-3U-3). [-5 T(U) = V = 27 T(V) = 22 -15 U = 1 2 -9 -3 T(-3U-3V) =0 %3D 0,
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