In the realm of linear algebra, determinants and matrices are essential tools used to solve systems of linear equations, especially when applying Cramer's rule to non-homogeneous linear equations.

In West Bengal Joint Entrance Examination (WBJEE), the chapter Matrices and Determinants play an important role. About 2-3 questions are always asked from this chapter.

Seven chapters on determinants and matrices are followed by a development of invariant theory mainly of quaternary and higher forms.