Answer to Question #64858 in Linear Algebra for devangi

Question #64858

Let T : P2 → P1 be defined by
T(a+bx+cx2) = b+c+(a−c)x.
Check that T is a linear transformation. Find the matrix of the transformation with
respect to the ordered bases B1 = {x2,x2+x,x2+x+ 1} and B2 = {1,x}. Find the
kernel of T .

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