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Q53Section I (Objective (Q1–Q80))53 of 80

Rank of a generalized inverse

Consider the following statements:

I. The rank of a generalized inverse of a matrix AA does necessarily have the same rank as AA.

II. The rank of a generalized inverse of a matrix AA is the same as the rank of AA, if and only if it is a reflexive inverse.

Which of the statements given above is/are correct?

Options

Pick an option to check your answer. In a mock test a wrong answer here costs 0.83 mark.