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

Consider the transformation T: P2 †’ R2 defined by
Consider the transformation T: P2 †’ R2 defined by
For example,

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

Consider the transformation T: P2 †’ R2 defined by
For example,

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.

Tp()P(O)

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