Rank of skew symmetric matrix

  • Thread starter bhanesh
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  • #1
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What is minimum possible rank of skew symmetric matrix ?
 

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  • #2
jgens
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Look at the zero matrix.
 
  • #3
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But how can we say that zero matrix is skew symmetric matrix
 
  • #4
jgens
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If 0 denotes the zero matrix, then 0T + 0 = 0. So this matrix is skew-symmetric.
 
  • #5
mathwonk
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a little more surprising question might be what is the maximum rank, say of a 3by3 skew symmetric matrix?
 
  • #6
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Determinant of skew symmetric matrix of odd order is always zero. So for skew symmetric matrix its rank will be always even in number. ..
 

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