Symmetric and Skew-Symmetric Matrices Explained | Class 12 Maths & Linear Algebra

Learn everything about Symmetric and Skew-Symmetric Matrices in this comprehensive lesson. We break down core definitions, essential properties, and important exam-oriented proofs with step-by-step solved examples. Topics Covered: Definition of Symmetric Matrix (A^T = A) Definition of Skew-Symmetric Matrix (A^T = -A) Why diagonal elements of a skew-symmetric matrix are always zero Expressing any square matrix as the sum of a symmetric and skew-symmetric matrix: \frac{1}{2}(A + A^T) + \frac{1}{2}(A - A^T) Key properties and theorems for Class 12 (CBSE/State Boards), JEE Main, and Linear Algebra Don't forget to like, share, and subscribe for more structured math tutorials!