Question
find the kernel of the linear transformation.$$ T: P_{2} \rightarrow P_{1}, T\left(a_{0}+a_{1} x+a_{2} x^{2}\right)=a_{1}+2 a_{2} x $$
Step 1
In this case, we want to find all polynomials $p(x) = a_{0}+a_{1} x+a_{2} x^{2}$ in $P_{2}$ such that $T(p(x)) = 0$. Show more…
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