Let e₁ 3 -1 and Y₂ = - [ ] ; } » - - }· [1] [B]*-}· and e₂= = 5 6 transformation that maps e₁ into Y₁ The image of The image of 4 -4 is CH is x2 16 -4 and maps e2 3x₁ - 1x₂ 5x₁ + 6x2 into and let T: R² R² be a linear Y2. Find the images of 4 -4 and X₁ X2

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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3
- 1
0
and e₂ =
· [1] - - - [ ] ·
and Y₂
=
5
6
Let e₁ =
The image of
transformation that maps e, into y₁ and maps e₂ into y₂. Find the images of
The image of
4
-4
X1
X2
is
is
16
-4
and let T: R²→R² be a linear
3x₁ - 1x₂
5x₁ + 6x2
X1
and
140
- 4
X2
Transcribed Image Text:3 - 1 0 and e₂ = · [1] - - - [ ] · and Y₂ = 5 6 Let e₁ = The image of transformation that maps e, into y₁ and maps e₂ into y₂. Find the images of The image of 4 -4 X1 X2 is is 16 -4 and let T: R²→R² be a linear 3x₁ - 1x₂ 5x₁ + 6x2 X1 and 140 - 4 X2
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