5. Let T: R2 → R² be a linear transformation such that Nullspace (T) = {0}. Show that T takes: a) parallel lines to parallel lines. b) triangles to triangles. c) circles to ellipses.
5. Let T: R2 → R² be a linear transformation such that Nullspace (T) = {0}. Show that T takes: a) parallel lines to parallel lines. b) triangles to triangles. c) circles to ellipses.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.2: The Kernewl And Range Of A Linear Transformation
Problem 59E: Let T:R3R3 be the linear transformation that projects u onto v=(2,1,1). (a) Find the rank and...
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