Answer to Question #81129 in Linear Algebra for Ra

Question #81129

Let T:P2→P1 be defined by T(a+bx+cx2)=b+2c+(a−b)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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