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Let An (n∈N) be a square matrix of order (2n−1)×(2n−1) such that aij=0 ∀ i≠j and aij=n2+i+1−2n ∀ i=j where aij denotes the element of ith row and jth column of An. Let Tn=(−1)n×( sum of all the elements of An). Let S=102∑n=1Tn , then the value of S13, |
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Answer» Let An (n∈N) be a square matrix of order (2n−1)×(2n−1) such that aij=0 ∀ i≠j and aij=n2+i+1−2n ∀ i=j where aij denotes the element of ith row and jth column of An. Let Tn=(−1)n×( sum of all the elements of An). Let S=102∑n=1Tn , then the value of S13, |
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