# Consider the transformation T: P2 R2 defined by For example, if p(t) = t2 - 6t + 4, then a

## Question:

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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## Step by Step Answer:

**Related Book For**

## 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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