Question

68 4 64 73 1 5. Matrix C is a coded message where C61 4 52 51 0 109 5 120 170 5 You know that each letter of the original message was first replaced with the number corresponding to its placement in the English alphabet (eg. E was replaced with 5) and any spaces in the message were replaced with zeroes. Then the message was encoded by multiplying the message matrix, M, on the left by the coding matrix, A- 01 4|such that AM C (or Coding matrix x Message matrix Coded Message matrix) (a) Decode the message using your knowledge of matrices to find out what it says? (If you do this correctly you will end up with a message in Te Rao Maori that means "You are doing 6 marks well (b) For each of the matrices B, C and D given below, state whether it could be used to encode the message "KAUA E HEMO" (which means "Don't give up"), explaining your answer 5 6 6 8 /K A U 2 2 2 8A 0 E 6 6 2 80 H E 2 3 6 7MO0 3 marks i) BM-2 2 3 5 2 marks 2 marks 2 30 E M O 0 Total Marks: 50

Answer 1

Answes Gien -thobt the Mohx Cs Coded 68 u 64 ! where 0 a, Hence the messoge กา -1 IA I зч

a 1 --ач 1รั 0 S 5 I. 0 5 -u su1 A (A) = del-(A)

G 52 51 o 11 O 6 3 S k A O P A Thus the messoge s "Ka Pa to mahi Foon given mah ces 3,ii, iii we can cr dude only maMa 8m'。e 8, can be used to HeMo ", SInce the encode messge e and the Prvesse of motnices B easts exists so P P: mpsslale decode the message

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