Mathematics
Matrix Basics: Notation and Types
Master matrix notation, order, types of matrices including symmetric, skew-symmetric, diagonal, and identity matrices for JEE Main & Advanced.
Matrices-Determinants
Mathematics
Matrix Algebra: Operations and Properties
Master matrix addition, scalar multiplication, matrix multiplication, transpose operations and their properties for JEE Main & Advanced.
Mathematics
Determinants: Evaluation and Calculation
Master determinant calculation for 2×2 and 3×3 matrices, Sarrus rule, expansion methods, and determinant properties for JEE Main & Advanced.
Mathematics
Minors, Cofactors and Expansion
Master minors, cofactors, cofactor expansion, Laplace expansion theorem, and applications in determinant evaluation for JEE Main & Advanced.
Mathematics
Adjoint and Inverse of Matrices
Master adjoint matrix, inverse matrix formula, properties of invertible matrices, and methods to find matrix inverse for JEE Main & Advanced.
Mathematics
Linear Equations: Cramer's Rule and Matrix Method
Master solving systems of linear equations using Cramer's rule, matrix method, consistency conditions, and applications for JEE Main & Advanced.
Mathematics
Properties of Determinants: Shortcuts for JEE
Master determinant properties, row operations, special patterns, Vandermonde determinant, and time-saving shortcuts for JEE Main & Advanced.