Study Chapter Details

UP Board Class 12 Mathematics – Matrices

The chapter Matrices forms a major foundation of modern mathematics and is widely used in science, engineering, economics, and computer applications. In Class 12, students learn the basic concepts of matrices, their types, and important operations such as addition, subtraction, scalar multiplication, and matrix multiplication. These operations simplify complex mathematical problems and allow data to be represented in an organized form.



The chapter also explains transpose of a matrix, symmetric and skew-symmetric matrices, and the concept of zero and identity matrices. Students learn about the properties of matrix operations, which help in solving higher-level algebraic equations. A significant part of the chapter covers determinants, which are closely linked to matrices and essential for solving systems of linear equations.

Understanding matrices strengthens logical thinking and builds a strong base for subjects like vectors, calculus, and computer programming. This chapter is highly useful for board exams and competitive exams such as JEE.