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 -16 T(v) = 19 23 u= V = 0 T(-u+3v): = 0 6 T(u) = -7

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: 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+3v).
-16
19
23
1
*-Q]v-3]
V =
2
-5
u=
T(-u+3v) = 0
0
6
T(u) = -7 | T(v) =
T(v)
-9
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+3v). -16 19 23 1 *-Q]v-3] V = 2 -5 u= T(-u+3v) = 0 0 6 T(u) = -7 | T(v) = T(v) -9
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