Consider the transformation T: P2 R2 defined by For example, if p(t) = t2 - 6t +

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Consider the transformation T: P2 †’ R2 defined by

For example, if p(t) = t2 - 6t + 4, then

a Prove that T is a linear transformation.
b Find a basis for the kernel of T.
c Find a basis for the image of T.

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Differential Equations and Linear Algebra

ISBN: 978-0131860612

2nd edition

Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West

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Question Posted: May 26, 2016 06:09 AM

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Consider the transformation T: P2 R2 defined by For example, if p(t) = t2 - 6t +

Question:

Tp()P(O)

Step by Step Answer:

a For any p 1 p 2 in P 2 Also Thus T is linear b pt a 2 t 2 a ...View the full answer

Differential Equations and Linear Algebra

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