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Let P be a matrix of order 3 × 3 such that all the entries in P are from the set (−1, 0,1). Then, the maximum possible value of the determinant of P is __________.
Correct answer is '4'. Can you explain this answer?
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Verified Answer
Let P be a matrix of order 3 × 3 such that all the entries in P ...
The determinant of P can be written as,
For the value to be equal to the determinant of 6, it is only possible when,
The further conclusion from the values is shown below.
This is not possible. Thus, the maximum value of determinant cannot be 6.
For the value of determinant equal to 5, Similar contradiction will occur as in case when the values of determinant were 6.
It is clear that for value of determinant to be 5, assume one term as zero. But the equation makes two terms zero.
For the value to be equal to the determinant of 6, it is only possible when,
The further conclusion from the values is shown below.
This is not possible. Thus, the maximum value of determinant cannot be 6.
For the value of determinant equal to 5, Similar contradiction will occur as in case when the values of determinant were 6.
It is clear that for value of determinant to be 5, assume one term as zero. But the equation makes two terms zero.
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Let P be a matrix of order 3 × 3 such that all the entries in P are from the set (−1, 0,1). Then, the maximum possible value of the determinant of P is __________.Correct answer is '4'. Can you explain this answer?
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Let P be a matrix of order 3 × 3 such that all the entries in P are from the set (−1, 0,1). Then, the maximum possible value of the determinant of P is __________.Correct answer is '4'. 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 Let P be a matrix of order 3 × 3 such that all the entries in P are from the set (−1, 0,1). Then, the maximum possible value of the determinant of P is __________.Correct answer is '4'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let P be a matrix of order 3 × 3 such that all the entries in P are from the set (−1, 0,1). Then, the maximum possible value of the determinant of P is __________.Correct answer is '4'. Can you explain this answer?.
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