In a matrix $A$,if all the sub-matrices of order $k$ are singular and there is at least one non-singular sub-matrix of order $r$ $(r < k)$,then the rank $(\rho)$ of the matrix $A$:

  • A
    satisfies $r \leq \rho < k$
  • B
    is equal to $r$
  • C
    is equal to $(k-1)$
  • D
    is equal to $(k+1)$

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