Suppose T: R³-R² is a linear transformation. Let u, v and w be the vectors given below, and suppose that T(u) and T(v) are as given. Find T(w). -3 1 10 -9 1 1 1 u = 1 V= 0 T(w) = 0 W = 1 T(u) 6 = - [4] Tv-[2] T(v) =

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 3CM: Let T:RnRm be the linear transformation defined by T(v)=Av, where A=[30100302]. Find the dimensions...
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Suppose T: R³→R² is a linear transformation. Let u, v and w be the vectors given below, and suppose that T(u) and T(v) are as given. Find T(w).
3
-0-0-0¬~A
W = 1 T(u) =
4
-9
u=
1
0
T(w)= 0
0
=
6
T(v) =
9
[2]
Transcribed Image Text:Suppose T: R³→R² is a linear transformation. Let u, v and w be the vectors given below, and suppose that T(u) and T(v) are as given. Find T(w). 3 -0-0-0¬~A W = 1 T(u) = 4 -9 u= 1 0 T(w)= 0 0 = 6 T(v) = 9 [2]
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