We find a matrix T with respect to the standard basis in each part of a question.
parts a, b, c and d . (a) T(31,72) = (2x - 20, -2.61 +5r) on V =R? (b) T(31,12,13) = (-11 + 12,562, 46, -212 +503) on V =R3. (c) T(21, 12) = (2x1 + ix2, 21 +222) on V = C. d] on V = M2x2(R) (with the Frobenius Inner Product). с (d) T ] 3. For each linear operator T in Exercise 1 find an ON basis 3 for V consisting of eigenvectors of T (if possible).