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Evaluate \(\left|\begin{array}{cc} {x} & {x+1} \\ {x-1} & {x} \end{array}\right|\)
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Evaluate \(\left|\begin{array}{cc} {x} & {x+1} \\ {x-1} & {x} \end{array}\right|\)

Answer

We have \(\left|\begin{array}{cc} {x} & {x+1} \\ {x-1} & {x} \end{array}\right|\) = x (x) – (x + 1) (x – 1) = x2 – (x2 – 1) = x2 – x2 + 1 = 1
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