Question: Consider the isomorphism RepB: P3 R4. (a) Vectors in a real space are orthogonal if and only if their dot product is zero. Give

Consider the isomorphism RepB: P3 → R4.
(a) Vectors in a real space are orthogonal if and only if their dot product is zero. Give a definition of orthogonality for polynomials.
(b) The derivative of a member of P3 is in P3. Give a definition of the derivative of a vector in R4.

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