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4) Let V be the subspace of C[a,b] spanned by e^x ; e^−x and let Ax...

4) Let V be the subspace of C[a,b] spanned by e^x ; e^−x and let Ax be the anti-differentiation operator that also holds the constant of integration to be zero. Example: Ax(2e^−x ) = −2e^−x . Find the matrix that represents Ax() in the standard ordered basis e^x ; e^−x and call that matrix A. Find the matrix that represents Ax() in the non-standard ordered basis cosh(x); sinh(x) and call that matrix B. And write matrices A and B as B = S^−1AS for some matrix S

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