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If 54^th row of a 67^th row matrix is linearly independent with each other then find the rank of the matrix.(a) 61(b) 54(c) 187(d) 32The question was posed to me during an online exam.This interesting question is from Permutation Groups in division Groups of Discrete Mathematics

Answer»

The correct ANSWER is (b) 54

To elaborate: If k^th ROW of a matrix with n^th row is linearly independent then the RANK of that matrix is k. If we take the transpose of a matrix the rank does not change. Hence, the answer is 54 in this CASE.



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