Let $A={\left(a_{ij}\right)}_{1\le i,\underset{¯}{j}3}$ be a $3\times 3$ invertible matrix where each $a_{ii}$ is a real number. Denote the inverse of the matrix $A$ by $A^{-1}.$ If $\sum _{itl}^3{a}_{ij}=1$
for $1\le i\le 3,$ then

• A

  sum of the diagonal entries of $A$ is $1$
• Correct answer
  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 $1$

Hence, the correct answer is option: 'B'.