(3)
Clearly, values of |A| in (1), (2) and (3) are equal It is left as an exercise to the
reader to verify that the values of |A| by expanding along R3, C2 and C3 are equal to the
value of |A| obtained in (1), (2) or (3) Hence, expanding a determinant along any row or column gives same value Remarks
(i)
For easier calculations, we shall expand the determinant along that row or column
which contains maximum number of zeros