Let T: R2 R³ and u, v E R2 such that T(u) = 1 2 -2 and T(v) = 4 -2 1 Find the image under T of the vectors (using correct notation) (a) 5u (b)-3v (c) 5u - 3v

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let T: R² R³ and u, v E R2 such that
T(u) =
1
2
-2
and T(v) =
4
-2
1
Find the image under T of the vectors (using correct notation)
(a) 5u
(b) -3v
(c) 5u - 3v
Transcribed Image Text:Let T: R² R³ and u, v E R2 such that T(u) = 1 2 -2 and T(v) = 4 -2 1 Find the image under T of the vectors (using correct notation) (a) 5u (b) -3v (c) 5u - 3v
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