In this video, we will see that any square matrix can be written as the sum of a symmetric and skew-symmetric matrix. Moreover, we will see that this decomposition is a unique decomposition. We will prove both the facts. Moreover, we will also see examples of these facts. We will start with the notion of Symmetric and skew-symmetric matrices and then we will proceed towards the proof. ========================================= Link for the previous lecture on tricks to find symmetric and skew-symmetric matrices. https://www.youtube.com/watch?v=gahTMq2dkVU