Determinant of identity and diagonal matrices for JEE

Formula

\(\det(I_n)=1\), and for diagonal or triangular matrix \(A\), \(\det(A)=\prod_{i=1}^{n} a_{ii}\).

Variables: \(a_{ii}\): diagonal entries.

Conditions: For square diagonal, upper triangular, or lower triangular matrices.

Fast determinant evaluation.