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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 A in for which the system of linear equations
  • a)
    0
  • b)
    more than 2
  • c)
    2
  • d)
    1
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
PASSAGE - 2Let be the set of all 3× 3 symmetric matrices all of...
For the given system to be inconsistent |A| = 0. The matrices for which | A | = 0 are



We find for A = (i)
By Cramer’s rule D1 = 0 = D2=D3
∴ infinite many solution
For A  = (ii)
By Cramer ’s rule D1 ≠ 0
⇒ no solution i.e. inconsistent.
Similarly we find the system as inconsistent in cases (iii), (v) and (vi).
Hence for four cases system is inconsistent.
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Most Upvoted Answer
PASSAGE - 2Let be the set of all 3× 3 symmetric matrices all of...
Correct answer is option.B) more than 2
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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 A in for which the system of linear equations a)0b)more than 2c)2d)1Correct answer is option 'B'. 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 A in for which the system of linear equations a)0b)more than 2c)2d)1Correct answer is option 'B'. 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 A in for which the system of linear equations a)0b)more than 2c)2d)1Correct answer is option 'B'. 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 A in for which the system of linear equations a)0b)more than 2c)2d)1Correct answer is option 'B'. Can you explain this answer?.
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