Matrices And Determinants

Use Cramer's rule to solve 2x+3y=5 and x-2y=1

Cayley-Hamilton theorem — verify for a 2×2 matrix

JEE Main 2022

Find inverse of 2×2 matrix [[3,1],[5,2]] and verify

Solve system of equations: x + y + z = 6, x - y + z = 2, 2x + y - z = 1 using matrices

CBSE 2024

Prove that determinant of skew-symmetric matrix of odd order is zero

JEE Main 2023

Solve a system of linear equations using Cramer's rule — 3 variable

JEE Main 2021

Solve System of 3 Equations Using Matrix Inverse (AX=B)

CBSE 2025 Sample Paper

Types of Matrices — Symmetric, Skew-Symmetric, Orthogonal

NCERT Class 12

Find the rank of a 3×3 matrix using row echelon form

JEE Main 2022

Find the inverse of a 3×3 matrix using adjoint method

NCERT Class 12

Properties of Determinants — Row Operations

CBSE 2024 Board Exam

Prove that A(adj A) = |A|·I — Matrix Identity

JEE Advanced 2024

Find Inverse of a 2×2 Matrix

CBSE 2024 Board Exam

Solve System of Equations Using Cramer's Rule

JEE Main 2024

Multiply Two 2×2 Matrices — Step by Step

NCERT Class 12