Need help finding the kernel of a linear transformation $P^2 to mathbb{R}$
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The question asks to find the kernel of $S: P^2 to mathbb{R}$ defined by $S(a+bx+cx^2) = a+b+c$. I know how to find the kernel of a matrix transformation (it's just the null space of the matrix) but I can't conceptualize a transformation from two different types of vector spaces. How would I go about finding a basis ker(S)?
linear-algebra linear-transformations
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edited Dec 18 '16 at 22:11
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asked Dec 18 '16 at 21:52
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