In the app above, select the [i]Numeric [/i]checkbox to generate a random matrix.[br]Calculate its determinant using the Law of Sarrus, then cross check your result with the app.[br][br]Do you know another method to calculate the determinant of a 3×3 matrix?[br]If so, compare the two methods and express your observations.

Apply the Law of Sarrus and solve the following equation:[br][br][math]\begin{vmatrix}x & 1 & 0\\0 & x & 1\\1 & 0 & x\end{vmatrix}=0[/math]

Apply the Law of Sarrus and solve the following inequality:[br][br][math]\begin{vmatrix}x & 1 & 1\\x & x & 1\\x & x & x\end{vmatrix}\leq 0[/math]