Let k1 -1, 23, and 3 2 be the three eigenvalues of some linear trasformation T: V-V Assume also we know that in the standard basis S-el, e2, e3) the tree eigenvectors (vl, v2, v3) associated with these eigenvalues are given by the following combinations of the basis vectors: a. Write the matrix DI of this trasformation in the basis El of eigenvectors ordered as E- v2, v3) and the matrix D2 of the same transformation, but in the basis E2-(v3, vl, v2): Explain your solution. b. Find the matrix A of this transformation in the basis S, i.e. make transition of D1 in the El basis to Sbasis. Also derive the same matrix A by similarity transformation of the matrix D2 in the basis E2 to the basis S. c. Use now the coordinatization of the given eigenvectors and the matrix A ofTin the basis S, check that the given vectors (vl, v2, v3) do represent the eigenvectors associated with the eigenvalues (kl, i2, 3),respectively.