Determinant of a 3x3 matrix by expansion for JEE

Formula

\[\begin{vmatrix}a&b&c\\d&e&f\\g&h&i\end{vmatrix}=a(ei-fh)-b(di-fg)+c(dh-eg)\]

Variables: \(a,b,c,d,e,f,g,h,i\): entries of the matrix.

Conditions: Applicable to matrices of order \(3\times 3\).

Direct determinant calculation in JEE problems.