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). 1 u= 2 H-H V = 4 W = -12 T(u) 2 T(w) = 0 -] = T(v) = -25 3

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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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).
---4---0-3³
-12 T(u) = T(v) =
2
u =
1
2
1
0
T(w) = 0
0
1
-2
-25
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). ---4---0-3³ -12 T(u) = T(v) = 2 u = 1 2 1 0 T(w) = 0 0 1 -2 -25
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