AAI ATC Junior Executive 2016 Shift 1 Paper
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Question : 82 of 120
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Consider the following assertions:
I. Rank (ST) = Rank S = Rank T
II. Rank (ST) = Rank S, if T is non-singular
III. Rank (ST) = Rank T, if T is non-singular
Where S, T : V → V are linear transformations of a finite-dimensional vector space V. Which of these is/are correct?
I. Rank (ST) = Rank S = Rank T
II. Rank (ST) = Rank S, if T is non-singular
III. Rank (ST) = Rank T, if T is non-singular
Where S, T : V → V are linear transformations of a finite-dimensional vector space V. Which of these is/are correct?
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