Matrix determinant

  • Thread starter iasc
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  • #1
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The question is:
Compute the determinant of the n × n matrix A for which aij = max(i, j).

I can compute determinants but I don't really know what the last bit means.
Any help appreciated.
 

Answers and Replies

  • #2
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The question is:
Compute the determinant of the n × n matrix A for which aij = max(i, j).

I can compute determinants but I don't really know what the last bit means.
Any help appreciated.

Put some numbers in. For example, a12 = max(1, 2) = 2.
 
  • #3
Redbelly98
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max(i,j) means either i or j, whichever is greater.
 
  • #4
Huge hint:
In the main diagonal of your matrix i = j, so max{ i, j } = i or j
above the main diagonal j > i, so max{ i, j } = j
below the main diagonal i > j so max { i, j } = i
 
  • #5
Redbelly98
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Note to all:

The OP had a simple question about the meaning of

aij = max(i, j)​

The question has been answered. This is a homework thread; please do not provide further help on solving the problem unless the OP posts again with more questions.
 

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