4. T(V₁, V2, V3) = (v₂ − V₁, V₁ + V₂, 2v₁), v = (2, 3, 0), w = (-11, -1, 10)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Please solve only Question# 4
Transcribed Image Text:Finding an Image and a Preimage In Exercises 1-8,
use the function to find (a) the image of v and (b) the
preimage of w.
1. T(v₁, v₂) = (v₁ + V₂, V₁
v = (3, 4), w = (3, 19)
—
2. T(v₁, v₂) = (v₁, 2v₂
-
V₂),
V₁, V₂),
v = (0,4), w = (2, 4, 3)
3. T(V₁, V₂, V3) = (2v₁ + v₂, 2v₂
v = (-4, 5, 1), w = (4, 1, 1)
- 3v₁, V₁
− — V3),
4. T(V₁, V₂, V3) = (v₂ − V₁, V₁ + V₂, 2v₁),
v = (2, 3, 0), w = (-11, -1, 10)
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