8. T(x, y) = (x + y, xy, 2x, 2y), v = (3, -3)
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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6. Please solve only Question#8
Transcribed Image Text:Finding the Image of a Vector In Exercises 7-10, use
the standard matrix for the linear transformation T to
find the image of the vector v.
7. T(x, y, z) = (2x + y, 3y - z), v = (0, 1, -1)
8. 7(x, y) = (x + y, xy, 2x, 2y), v = (3, -3)
9. T(x, y) = (x − 3y, 2x + y, y), v = (-2,4)
=
10. T(X₁, X2, X3, X4) = (x₁ - X3, X₂ - X4, X3 − X₁, X₂ + X4),
V = (1, 2, 3, -2)
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