Question

Find the determinant of $\left[\begin{array}{ccc}0&1&1\\1&0&1\\1&1&0\end{array}\right]$

Answer 1

Answer:

$\text {Determinant = } 2$

Step-by-step explanation:

$\text{Find the determinant of} \left[\begin{array}{ccc}0&1&1\\1&0&1\\1&1&0\end{array}\right]$

$\text {Determinant = } 0 \times \left|\begin{array}{ccc}0&1\\1&0\end{array}\right| - 1 \times \left|\begin{array}{ccc}1&1\\1&0\end{array}\right| + 1 \times \left|\begin{array}{ccc}1&0\\1&1\end{array}\right|$

$\text {Determinant = } 0[(0)(0) - (1)(1)] - 1[(1)(0) - (1)(1)] + 1[(1)(1) - (0)(1)]$

$\text {Determinant = } 0 + 1 + 1$

$\text {Determinant = } 2$