Determine a Linear Transformation Matrix for (x+a)*derivative: P2 to P2

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This video explains how to determine a linear transformation matrix and then calculator a transformation for the transformation of (x+8)*(derivative) from P2 to P2.
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  2. transformation
  3. matrix
  4. P1
  5. linear
  6. standard
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Let Pk denote the vector space of polynomials of degree at most k. Let T : P3 → P2 be the function defined by T(p(x)) = p''(x) − 2p'(x). This is a linear map. (a) Find the matrix for T with respect to the standard bases for P3 and P2. (b) Find a basis for kerT.

How would i solve for this =((

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