Answer: The maximum number of linearly independent rows (or columns).
- A The total number of rows present in the matrix
- B The determinant of the matrix, computed along any row
- C The trace, given by the sum of the diagonal entries
- D The maximum number of linearly independent rows (or columns)
Correct answer: D. The maximum number of linearly independent rows (or columns)
Explanation: Rank = maximum number of linearly independent rows = maximum number of linearly independent columns = order of the largest non-zero minor.
Concept context
Evaluation of determinants, cofactors, adjoint, inverse of matrix, Cramer's rule and area applications. Always in board and JEE.