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**Find a basis for Ker T and a basis for Im T**

a) T: P_{2} -> R^2 \ T(a+bx+cx^2) = (a,b)

for Ker T , both a and b must be zero, but c can be anything

so the basis is x^2

for hte image we have to find the find v in P2 st T(v) = (a,b) \in P^2

the c can be anything, right?

cant our basis be (1,0) or (0,1) ??

But wshould hte dimensions of the kernel and image add up to the dimension of the preimage?

Latex is acting funny...

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