Matrices & Determinants CBSE 2025 Questions CLASS XII

 Matrices & Determinants CBSE 2025  Questions 

CBSE CLASS XII MATHS SYLLABUS TOPIC MATRICES & DETERMINANTS

Matrices 

Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices. Operations on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. Non- commutativity of multiplication of matrices and existence of nonzero matrices whose product is the zero matrix (restrict to square matrices of order 2). Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries). 

 Determinants 

Determinant of a square matrix (up to 3 x 3 matrices), minors, co-factors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix

This is an important topic for CBSE Exam. It carries 10 marks in the exam. 03 to 05 MCQ Questions will be there in the CBSE Board Exam.