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a) Given that the matrix #((2,3),(3,4))#, find #A^-1#, the inverse of A.
b) Kariuki bought 400 goats and 600 sheep for a total of Kshs 1.7m. Maina bought 180 goats
and 240 sheep for a total of Kshs 720,000.
If the price of a goat is sh. X and that of a sheep is
shs y,
i) Form two equations to represent the above information.
ii) Use the matrix A-1 to find the price of one goat and one sheep.
c) John bought 450 goats and 720 sheep. He was given a total discount of shs 66,600.
If the discount on the price of a sheep was 2%, calculate the percentage discount on the price of a goat.