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In this video, we talk about symmetric and skew symmetric matrices. We first look at examples of each and then understand the constraints on the elements. We then verify 2 results that work for sum and difference of a matrix and its transpose. We finally derive these results using properties of transpose of a matrix. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! (https://www.khanacademy.org/math/ncer...) Timestamps: 0:00 What are symmetric matrices? 1:17 What are skew symmetric matrices? 4:10 Verifying results on sum and difference (with transpose) 6:15 Proving the results using properties Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Ashish Gupta