Study Chapter Details
UP Board Class 12 Mathematics – Determinants
The chapter Determinants is an essential part of Class 12 Mathematics and plays a major role in solving systems of linear equations, understanding matrices, and applying algebraic techniques. Students learn how to evaluate determinants of order 1, 2, and 3 using different methods such as expansion (cofactors and minors) and properties of determinants. These techniques help simplify complex expressions and make calculations more efficient.
The chapter also covers cofactors, adjoint of a matrix, and inverse of a matrix using determinants. One of the most important applications discussed is solving linear equations using the inverse matrix method and Cramer’s Rule, which is used widely in mathematics and engineering.
Determinants also help in understanding the concept of area of triangles, checking consistency of equations, and transformations in coordinate geometry. Mastering this chapter strengthens analytical reasoning and is highly useful for both board exams and competitive exams like JEE.
