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AP EAMCET202316 May 2023Morning ShiftMathematicsMatricesActual

If there exists a k ^ th order non-singular sub matrix in matrix P of order m n , then the rank ( ) of P

Options

  1. Asatisfies k m
  2. Bsatisfies k < < n
  3. Csatisfies k m , n
  4. Dis equal to k +1

Correct answer

C. satisfies k m , n

Step-by-step solution

The order of the matrix P is m n . Rank of P i.e. (m, n) ...(i) Also, there exist a k^ th order non-singular sub matrix. k ...(ii) Combining eqn. (i) and (ii), we get : k (m, n)

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