IIT JAM
Surabhi Asked a Question
July 3, 2020 5:50 pmpts 30 pts
  • IIT JAM
  • Mathematics (MA)

1.61. please give explanation for this

1.61. Let A be a real 3 x4 matrix of rank 2. Then the rank of A'A, where A' denotes the eranspose A, is: ) exactly 2 (ii) exactly 3 (ii) exactly 4 (iv) at most 2 but not necessarily 2.
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  • Arzoo thankyou
    see the attachment
    • cropped5720101640834931922.jpg
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  • Vishal goswami thankyou
    ans is options 1 rank(A)=rank(AA')=rank(A')
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  • Deepak singh
    rank(A) = rank (AtA) , so rank (AtA) is less than or equal to 2 . so option 4 is correct.
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  • Ujjawal vishal
    rank (AtA)= rank (A) always
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  • Arzoo
    proof of used result
    • cropped5388339336694809774.jpg
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