If A is 3 x 3 matrix whose rank is 2 and B is 3 x 3 matrix whose rank is 3, then rank of matrix AB is.
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Let , A7×5 be a matrix of rank 3 and B5×7 be a matrix of rank 5. Then find the rank of the matrix AB.
As we know , rank(AB)≤min{rank(A),rank(B)} , so rank(AB)≤3. But how I can find out the exact value of rank(AB) ?
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