pls with C and D Transcribed Image Text: Still using

pls with C and D Transcribed Image Text: Still using
T: M2(R) P2
be defined by
а
= a + (bc)x + dr?
c d
(c) Is T injective? Proof or counterexample.
(d) Prove that T is surjective. Transcribed Image Text: {[::]
a b
3. Recall
M2(R) = { :
||a, b, c, d E R and P2 = {f(x) = ao + a1x + a2x² | ao, a1, a2 E R}.
%3D
%3D
c d
Consider the function
T: M2(R) → P2
be defined by
([::) –
a
= a + (bc)x + d.x2
c d
1 2
(a) Compute T
34
(b) Find T- ({1+6x+4.x}) =

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