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rank of a matrix of order m x n is less than or equal to min (m,n). why is that?

rank of a matrix of order m x n is less than or equal to min (m,n). why is that?

Grade:12th pass

1 Answers

Vijay Mukati
askIITians Faculty 2590 Points
8 years ago
Because for an m x n matrix,
If m is less than n, then the maximum rank of the matrix is m.
If m is greater than n, then the maximum rank of the matrix is n.

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