Question: (a) Consider the transformation of ax2 + bx + c in P2 to |a| in P0. Show that it does not correspond to a linear

(a) Consider the transformation of ax2 + bx + c in P2 to |a| in P0. Show that it does not correspond to a linear transformation by showing that there is no matrix that maps (a, b, c) in R3 to |a| in R.
(b) Does the transformation of ax2 + bx + c in P2 to a in p0 correspond to a linear transformation from R3 to R?

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