T : R? → R² first performs a horizontal shear that trans- forms e, into e, – 2e¡ (leaving e¡ unchanged) and then re- flects points through the line x2 = -x1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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9. T: R² → R² first performs a horizontal shear that trans-
forms ez into e, – 2e, (leaving e¡ unchanged) and then re-
flects points through the line x2 = -x1.
Transcribed Image Text:9. T: R² → R² first performs a horizontal shear that trans- forms ez into e, – 2e, (leaving e¡ unchanged) and then re- flects points through the line x2 = -x1.
In Exercises 1–10, assume that T is a linear transformation. Find
the standard matrix of T.
Transcribed Image Text:In Exercises 1–10, assume that T is a linear transformation. Find the standard matrix of T.
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