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If A is a square matrix of order 3 and entries of A are positive integers, then |A| is
  • a)
    an arbitrary integer
  • b)
    positive
  • c)
    0
  • d)
    different from 0
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If A is a square matrix of order 3 and entries of A are positive integ...

Also, |A| is Negative. Hence, |A| can be arbitrary integer.
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Most Upvoted Answer
If A is a square matrix of order 3 and entries of A are positive integ...

Explanation:

Properties of Determinants:
- The determinant of a square matrix is an arbitrary integer.
- The determinant of a matrix with positive integer entries may or may not be positive.
- The determinant of a matrix of order 3 can be 0 or non-zero.

Explanation:
- The determinant of a square matrix A of order 3 with positive integer entries can be any integer.
- It is not necessary for the determinant to be positive, as it depends on the specific values of the entries of the matrix.
- Therefore, the determinant of matrix A is an arbitrary integer, which means it can be positive, negative, or zero.
- Hence, option 'A' is the correct answer.
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If A is a square matrix of order 3 and entries of A are positive integers, then |A| isa)an arbitrary integerb)positivec)0d)different from 0Correct answer is option 'A'. Can you explain this answer?
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