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Let T : R? → R² be defined by T(a,b) = (a – b, 2a – 26). Show that T is a linear transformation and not onto. Calculate N(T), find a basis for N(T), and state the nullity of T

Let T : R? → R² be defined by T(a,b) = (a – b, 2a – 26). Show that T is a linear transformation and not onto. Calculate N(T), find a basis for N(T), and state the nullity of T

Advanced Engineering Mathematics
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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Let T : R? → R² be defined by T(a, b) = (a – b, 2a – 2b). - - Show that T is a linear transformation and not onto. Calculate N(T), find a basis for N(T), and state the nullity of T
Transcribed Image Text:Let T : R? → R² be defined by T(a, b) = (a – b, 2a – 2b). - - Show that T is a linear transformation and not onto. Calculate N(T), find a basis for N(T), and state the nullity of T
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