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Let be the differentiation operator and use the basis set for both the domain and the range of…

Let be the differentiation operator and use the basis set for both the domain and the range of…

Let  be the differentiation operator  and use the basis set for both the domain and the range of the transformation .i. Show that the transformation  is linear.,ii. Find the matrix of this transformation relative to the basis shown above.iii. Find the eigenvalues and eigenvectors of the transformation