Suppose T: R² R³ 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). 18 -21 T(u) = -19 11 T(v) = 23 -12 -[51]-[-2] - [15] V = W 4 u= T(w): =0

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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
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Suppose T: R²→R³ 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).
18
-21
T(u) = -19 T
T(v) = 23
– 12
11
--[11]-[5] ~-[41³]
V =
W =
2
u=
0
T(w) = 0
0
Transcribed Image Text:Suppose T: R²→R³ 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). 18 -21 T(u) = -19 T T(v) = 23 – 12 11 --[11]-[5] ~-[41³] V = W = 2 u= 0 T(w) = 0 0
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