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 (ii)
While expanding, instead of multiplying by (–1)i + j, we can multiply by +1 or –1
according as (i + j) is even or odd