Any square matrix can be written as sum of Symmetric and Skew Symmetric matrix and that too UNIQUELY
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.
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Link for the previous lecture on tricks to find symmetric and skew-symmetric matrices.
• Tricks to find examples on Symmetric & Ske...