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Consider a transformation from the space of first degree polynomials into the space of second…

Consider a transformation from the space of first degree polynomials into the space of second…

Consider a transformation  from the space of first degree polynomials into the space of second degree polynomials. The transformation is defined as followsi. Find the matrix representation of the transformation A relative to the basis sets U and V, using Eq. (6.6).ii. Verify the operation of the matrix representation from part i. on the element of X given below. (Verify that the matrix multiplication produces the same result as the transformation.)iii. Using a similarity transform, find the matrix of the transformation with respect to the basis sets  and V.