Prove that T: ℝ2 → ℝ2 is a linear transformation and find the inverse, if it exists. T(x,y) = (2x+y, -x+y)
Prove that T: ℝ2 → ℝ2 is a linear transformation and find the inverse, if it exists. T(x,y) = (2x+y, -x+y)
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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Prove that T: ℝ2 → ℝ2 is a linear transformation and find the inverse, if it exists.
T(x,y) = (2x+y, -x+y)
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