IITJEE Mains • Mathematics New Syllabus
Module 03: Matrices & Determinants Hub
Master the mathematics of arrays and linear systems. Explore matrix algebra, properties of determinants, adjoints, inverses, and the application of matrices to solve systems of linear equations.
Topic 1.1 • Matrix Algebra
Types of Matrices, Equality, and Algebra of Matrices (Addition, Multiplication, Scalar)
Topic 1.2 • Advanced Operations
Transpose of a Matrix, Symmetric and Skew-Symmetric Matrices and their Properties
Topic 2.1 • Determinants I
Determinant of a Square Matrix, Minors, Cofactors, and Evaluation Methods
Topic 2.2 • Determinants II
Key Properties of Determinants and Operations on Rows and Columns
Topic 3.1 • Matrix Transformations
Adjoint of a Matrix, Inverse of a Matrix, and their Mathematical Properties
Topic 3.2 • Linear Systems I
Consistency and Inconsistency of Linear Equations, Homogeneous and Non-Homogeneous Systems
Topic 4.1 • Linear Systems II
Solving Systems of Linear Equations using the Matrix Method (Inverse Method)
Topic 4.2 • Linear Systems III