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Consider the vector space P 2 of all polynomials of degree less than or equal to 2. One basis for…

Consider the vector space P 2 of all polynomials of degree less than or equal to 2. One basis for…

Consider the vector space P2 of all polynomials of degree less than or equal to 2. One basis for this vector space is Consider the differentiation transformation  i. Find the matrix of this transformation relative to the basis set V.ii. Find the eigenvalues and eigenvectors of the transformation.