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JEE Advanced (IIT-JEE)

Matrices

No official chapter weightage

Matrix operations, determinants and inverses up to order three, and solving simultaneous linear equations.

A−1=adj⁡Adet⁡A,det⁡(AB)=det⁡A⋅det⁡BA^{-1} = \frac{\operatorname{adj} A}{\det A}, \quad \det(AB) = \det A \cdot \det B

What this unit covers

  • Addition, scalar multiplication, product and transpose; elementary row and column transformations

  • Determinant of a square matrix of order up to three; adjoint and inverse

  • Diagonal, symmetric and skew-symmetric matrices and their properties

  • Solutions of simultaneous linear equations in two or three variables

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