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Consider the set A of all matrices of order 3 × 3 with entries 0 or 1 only. Let B be the subset of A consisting of all matrices whose determinant is 1. Let C be the subset of A consisting of all matrices whose determinant is -1. Then which one of the following is correct?
  • a)
    C is empty
  • b)
    B has as many elements as C
  • c)
    A = B ∪ C
  • d)
    D has thrice as many elements as C
Correct answer is option 'B'. Can you explain this answer?
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Consider the set Aof all matrices of order 3 × 3 with entries 0 ...
By symmetry B has as many elements as C.
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Consider the set Aof all matrices of order 3 × 3 with entries 0 or 1 only. Let Bbe the subset of Aconsisting of all matrices whose determinant is 1. Let Cbe the subset of Aconsisting of all matrices whose determinant is -1. Then which one of the following is correct?a)C is emptyb)Bhas as many elements as Cc)A = B∪ Cd)D has thrice as many elements as CCorrect answer is option 'B'. Can you explain this answer?
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Consider the set Aof all matrices of order 3 × 3 with entries 0 or 1 only. Let Bbe the subset of Aconsisting of all matrices whose determinant is 1. Let Cbe the subset of Aconsisting of all matrices whose determinant is -1. Then which one of the following is correct?a)C is emptyb)Bhas as many elements as Cc)A = B∪ Cd)D has thrice as many elements as CCorrect answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Consider the set Aof all matrices of order 3 × 3 with entries 0 or 1 only. Let Bbe the subset of Aconsisting of all matrices whose determinant is 1. Let Cbe the subset of Aconsisting of all matrices whose determinant is -1. Then which one of the following is correct?a)C is emptyb)Bhas as many elements as Cc)A = B∪ Cd)D has thrice as many elements as CCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the set Aof all matrices of order 3 × 3 with entries 0 or 1 only. Let Bbe the subset of Aconsisting of all matrices whose determinant is 1. Let Cbe the subset of Aconsisting of all matrices whose determinant is -1. Then which one of the following is correct?a)C is emptyb)Bhas as many elements as Cc)A = B∪ Cd)D has thrice as many elements as CCorrect answer is option 'B'. Can you explain this answer?.
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