Class 12Mathematics3 and 4 .Determinants and MatricesRank of Matrices , Some special determinants, differentiation and integration of determinants
EasyIf there exists a $k^{\text{th}}$ order non-singular submatrix in a matrix $P$ of order $m \times n$,then the rank $(\rho)$ of $P$
- Asatisfies $k \leq \rho \leq m$
- Bsatisfies $k < \rho < n$
- Csatisfies $k \leq \rho \leq \min \{m, n\}$
- Dis equal to $k+1$
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