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Let M be the set of all invertible 5 × 5 matrices with entries 0 and 1. For each 
and n0(M) denote the number of 1’s and 0’s in M, respectively. Then
  • a)
    1
  • b)
    3
  • c)
    5
  • d)
    15
Correct answer is option 'A'. Can you explain this answer?
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Let M be the set of all invertible 5 × 5 matrices with entries 0 ...
Solution: 1) 1


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Let M be the set of all invertible 5 × 5 matrices with entries 0 ...
[Mij] with order 5*5 has 25 entries.

so min *|n1(M) -n0(M)|* = |13-12|=1
so answer is a) 1
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Let M be the set of all invertible 5 × 5 matrices with entries 0 and 1. For each and n0(M) denote the number of1’s and 0’s in M, respectively. Thena)1b)3c)5d)15Correct answer is option 'A'. Can you explain this answer?
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