MCQ
Evaluate $\left|\begin{array}{cc}x & x+1 \\ x-1 & x\end{array}\right|$
  • A
    $0$
  • $1$
  • C
    $2$
  • D
    $3$

Answer

Correct option: B.
$1$
b
We have

$\left|\begin{array}{cc}x & x+1 \\ x-1 & x\end{array}\right|=x(x)-(x+1)(x-1)=x^{2}-\left(x^{2}-1\right)=x^{2}-x^{2}+1=1$

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