Solve the problem. Let T: ²² be a linear transformation that maps u = · [1] into [3] Use the fact that T is linear to find the image of 3u+v. -8 28 -28 42 [] -36 [] 14 0 [11] -12 and maps v = · =[3] into [4]. ·

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Solve the problem.
Let T: ²² be a linear transformation that maps u = · [1] into [3]
Use the fact that T is linear to find the image of 3u+v.
-8
28
-28
42
[]
-36
[]
14
0 [11]
-12
and
maps v =
·
=[3] into [4].
·
Transcribed Image Text:Solve the problem. Let T: ²² be a linear transformation that maps u = · [1] into [3] Use the fact that T is linear to find the image of 3u+v. -8 28 -28 42 [] -36 [] 14 0 [11] -12 and maps v = · =[3] into [4]. ·
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