 Hello friends, welcome to the session. I am Alka. We are going to discuss matrices now a given question is if a and b are Symmetric matrices prove that a b minus ba is a skew symmetric matrix now Let's start with the solution. We are given a and b are symmetric matrices this implies a transpose equal to a and B transpose equal to V Now since we have to prove that a b minus ba is a skew symmetric matrix therefore a b minus ba transpose equal to a b transpose minus ba transpose Which is equal to b transpose a transpose minus a transpose b transpose Which is equal to b a minus a b from first This is equal to on taking minus common. We get a b minus ba this shows that a b minus ba is a skew symmetric matrix Hope you understood the solution and enjoyed the session goodbye and take care