Page 1 Question 1: Prove that the determinant is independent of ?. Answer Hence, ? is independent of ?. Question 2: Without expanding the determinant, prove that Answer Page 2 Question 1: Prove that the determinant is independent of ?. Answer Hence, ? is independent of ?. Question 2: Without expanding the determinant, prove that Answer Hence, the given result is proved. Question 3: Evaluate Answer Expanding along C3, we have: Page 3 Question 1: Prove that the determinant is independent of ?. Answer Hence, ? is independent of ?. Question 2: Without expanding the determinant, prove that Answer Hence, the given result is proved. Question 3: Evaluate Answer Expanding along C3, we have: Question 4: If a, b and c are real numbers, and , Show that either a + b + c = 0 or a = b = c. Answer Expanding along R1, we have: Page 4 Question 1: Prove that the determinant is independent of ?. Answer Hence, ? is independent of ?. Question 2: Without expanding the determinant, prove that Answer Hence, the given result is proved. Question 3: Evaluate Answer Expanding along C3, we have: Question 4: If a, b and c are real numbers, and , Show that either a + b + c = 0 or a = b = c. Answer Expanding along R1, we have: Hence, if ? = 0, then either a + b + c = 0 or a = b = c. Question 5: Solve the equations Answer Page 5 Question 1: Prove that the determinant is independent of ?. Answer Hence, ? is independent of ?. Question 2: Without expanding the determinant, prove that Answer Hence, the given result is proved. Question 3: Evaluate Answer Expanding along C3, we have: Question 4: If a, b and c are real numbers, and , Show that either a + b + c = 0 or a = b = c. Answer Expanding along R1, we have: Hence, if ? = 0, then either a + b + c = 0 or a = b = c. Question 5: Solve the equations Answer Question 6: Prove that AnswerRead More

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