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{"ops":[{"insert":"Question 1. [20 Marks]\na) Let p, q, and r be the propositions:\np = \"the flag is set\"\nq = \"I = 0\"\nr = \"subroutine S is completed\"\nTranslate each of the following propositions into symbols, using the letters p, q, r and logical connectives.\n(i) If the flag is set, then I = 0 [2 marks]\n(ii) The flag is set and I = 0 if subroutine S is not completed [2 marks]\n(iii) Subroutine S is completed if and only if I = 0 and flag is set [2 marks]\nb) State the converse, contrapositive, and inverse of each of these conditional statements.\n(i) If it snows tonight, then I will stay at home [3 marks]\n(ii) I go to the beach whenever it is a sunny summer day [3 marks]\n(iii) When I stay up late, it is necessary that I sleep until noon [3 marks]\nc) Explain the step-by-step procedure involved in finding the inverse of an n by n square matrix. [5 marks]\n\n\n\n"}]}
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