Three students, Neha, Rani and Sam go to a market to purchase stationery items. Neha buys 4 pens, 3 notepads and 2 erasers and pays ₹ 60. Rani buys 2 pens, 4 notepads and 6 erasers for ₹ 90. Sam pays ₹ 70 for 6 pens, 2 notepads and 3 erasers. Based upon the above information, answer the following questions : (i) Form the equations required to solve the problem of finding the price of each item, and express it in the matrix form AX = B. (ii) Find |A| and confirm if it is possible to find A⁻¹. (iii) (a) Find A⁻¹, if possible, and write the formula to find X. OR (iii) (b) Find A² - 8I, where I is an identity matrix.