Every linear transformation x = au + bv, y = cu + dv with ad – bc # 0 maps lines of the uv-plane onto lines of the xy-plane. Find the image (a) of a vertical line u = uo: (b) of a horizontal line v = vo.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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Every linear transformation
x = au + bv,
y = cu + dv
with
ad – bc + 0
maps lines of the uv-plane onto lines of the xy-plane. Find
the image (a) of a vertical line u = uo; (b) of a horizontal
line v = vo.
Transcribed Image Text:Every linear transformation x = au + bv, y = cu + dv with ad – bc + 0 maps lines of the uv-plane onto lines of the xy-plane. Find the image (a) of a vertical line u = uo; (b) of a horizontal line v = vo.
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