1 (a) An Automobile company uses three types of steel S1, Sz and S3 for producing three types of cars C1, C2 and Cy. The steel requirements ( in tons ) for each type of car is give is as shown in the table below; Cars CI C2 C3 SI 2 3 4 Steel S2 1 2 S3 3 2 As a management person in this Automobile company, use management mathematics to determine the number of cars of each type which can be produced using 29, 13 and 16 tons of steel of the three types respectively which is available to the company as of now. 1(b). Cryptography is concerned with keeping communications private. Today governments use sophisticated methods of coding and decoding messages. One type of code, which is extremely difficult to break, makes use of a large matrix to encode a message. The receiver of the message decodes it using the inverse of the matrix. This first matrix is called the encoding matrix and its inverse is called the decoding matrix. If the following matrix written is an encoding matrix of a government agency's sophisticated method of encoding outgoing messages, Find the Inverse of the above message matrix which will represent the decoding matrix. [ 30 Marks ]