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W4.1. Suppose that T: R² →R² is a linear transformation such that 1′(i)=(1,2) and (7)=(2,4). Show that I is not onto by finding one vector in the codomain that is not Le image of any vector in the domain. Is T one-to-one?

W4.1. Suppose that T: R² →R² is a linear transformation such that 1′(i)=(1,2) and (7)=(2,4). Show that I is not onto by finding one vector in the codomain that is not Le image of any vector in the domain. Is T one-to-one?

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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Suppose that  T: R2 --> R2 is a linear transformation such that T (i) = (1,2) and T (j) =(2,4_ . Show that T is not onto by finding one vector in the codomain that is not the image of any vector in the domain. Is T one-to-one?

HW4.1. Suppose that T: R² →R² is a linear transformation such that T(i)=(1,2) and T(7)=(2,4). Show that T is not onto by finding one ve the image of any vector in the domain. Is T one-to-one? vector in the codomain that is not
Transcribed Image Text:HW4.1. Suppose that T: R² →R² is a linear transformation such that T(i)=(1,2) and T(7)=(2,4). Show that T is not onto by finding one ve the image of any vector in the domain. Is T one-to-one? vector in the codomain that is not
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