IIT JAM Follow
July 3, 2020 5:50 pm 30 pts
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
see the attachment
• Vishal goswami
ans is options 1 rank(A)=rank(AA')=rank(A')
• Deepak singh
rank(A) = rank (AtA) , so rank (AtA) is less than or equal to 2 . so option 4 is correct.
• Ujjawal vishal
rank (AtA)= rank (A) always