Construct a 2 2 matrix whose elements a ij are given by (i) a ij = 2i - j (ii) a ij = i.j

(i) Given a ij = 2i - j, ∴ a 11 = 2(1) - 1 = 1, a 12 = 2(1) - 2 = 0, a 21 = 2(2) - 1 = 3, a 22 = 2(2) - 2 = 2. Hence, the required matrix =. (ii) Given a ij = i.j, ∴ a 11 = 1.1 = 1, a 12 = 1.2 = 2, a 21 = 2.1 = 2, a 22 = 2.2 = 4. Hence, the required matrix =.