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Grade 12Algebra

What is the rank of n×n matrix if aij=i+j?where i and j represents no.of rows and no. Of column respectively.

Profile image of Tushar
6 Years agoGrade 12
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1 Answer

Profile image of Arun
6 Years ago
Dear student
 
As if aij = i + j
hence determinant will not be zero
 
now for any matrix if determinant is non zero then rank is defined as the order.
hence rank = n