Let A=[aij] be a 3×3 matrix, whereaij=⎧⎪⎨⎪⎩1,if i=j−x,if – InterviewSolution

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1.	Let A=[aij] be a 3×3 matrix, whereaij=⎧⎪⎨⎪⎩1,if i=j−x,if \|i−j\|=12x+1,otherwiseLet a function f:R→R be defined as f(x)=det(A). Then the sum of maximum and minimum values of f on R is equal to
Answer» Let $A = [a_{i j}]$ be a $3 \times 3$ matrix, where $a_{i j} = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} 1 & , & if i = j - x & , & if \| i - j \| = 1 2 x + 1 & , & otherwise \end{matrix}$ Let a function $f : R \to R$ be defined as $f (x) = det (A) .$ Then the sum of maximum and minimum values of $f$ on $R$ is equal to

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