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PASSAGE - 2
Let  be the set of all 3× 3 symmetric matrices all of whose entries are either 0 or 1. Five of these entries are 1 and four of them are 0.
Q. The number of matrices in is
  • a)
    12
  • b)
    6
  • c)
    9
  • d)
    3
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
PASSAGE - 2Let be the set of all 3× 3 symmetric matrices all of...
Each element of set A is 3 × 3 symmetric matrix with five of its entries as 1 and four of its entries as 0, we can keep in diagonal either 2 zero and one 1 or no zero and three 1 so that the left over zeros and one’s are even in number.
Hence taking 2 zeros and one 1 in diagonal the possible cases are 
and taking 3 ones in diagonal the possible cases are 
∴ Total elements A can have = 9 + 3 = 12
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PASSAGE - 2Let be the set of all 3× 3 symmetric matrices all of whose entries are either 0 or 1. Five of these entries are 1 and four of them are 0.Q.The number of matrices inisa)12b)6c)9d)3Correct answer is option 'A'. Can you explain this answer?
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PASSAGE - 2Let be the set of all 3× 3 symmetric matrices all of whose entries are either 0 or 1. Five of these entries are 1 and four of them are 0.Q.The number of matrices inisa)12b)6c)9d)3Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about PASSAGE - 2Let be the set of all 3× 3 symmetric matrices all of whose entries are either 0 or 1. Five of these entries are 1 and four of them are 0.Q.The number of matrices inisa)12b)6c)9d)3Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for PASSAGE - 2Let be the set of all 3× 3 symmetric matrices all of whose entries are either 0 or 1. Five of these entries are 1 and four of them are 0.Q.The number of matrices inisa)12b)6c)9d)3Correct answer is option 'A'. Can you explain this answer?.
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