Determine whether the linear transformation T is invertible by considering its matrix with respect to the standard bases. T : P_2 → P_2 defined by T(p(x)) = p(x) + p'(x) If T is invertible, use the theorem

Determine whether the linear transformation T is invertible by considering its matrix with respect to the standard bases.

T : P_2 → P_2 defined by

T(p(x)) = p(x) + p'(x)

If T is invertible, use the theorem below to find the inverse of T (attached).

Determine whether the linear transformation T is invertible by considering its matrix-example-1

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