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Let A = (a(ij))(1 le I, j le 3) be a 3 x...

Let `A = (a_(ij))_(1 le I, j le 3)` be a `3 xx 3` invertible matrix where each `a_(ij)` is a real number. Denote the inverse of the matrix A by `A^(-1)`. If `Sigma_(j=1)^(3) a_(ij) = 1` for `1 le i le 3`, then

A

sum of the diagonal entries of A is 1

B

sum of each row of `A^(–1)` is 1

C

sum of each row and each column of `A^(–)`1 is 1

D

sum of the diagonal entries of `A^(–1)` is 1

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The correct Answer is:
B
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