A matrix which is both symmetric as well as skew-symmetric is a null matrix| Class 12 MATRICES

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Prove that the null matrix is both symmetric and skew-symmetric. 🔴 |CLASS 12| CHAPTER-3| MATRICES🔴 Prove that the null matrix is both symmetric and skew-symmetric. 🔴 |CLASS 12| CHAPTER-3| MATRICES🔴
A matrix which is both symmetric as well as skew-symmetric is a null matrix. A matrix which is both symmetric as well as skew-symmetric is a null matrix.
Null matrix is both symmetric and skew-symmetric| matrices| bluepenbluemarker |zero matrix|M saalim Null matrix is both symmetric and skew-symmetric| matrices| bluepenbluemarker |zero matrix|M saalim
Class 12th – Symmetric & Skew Symmetric Matrix Problem-3 | Matrices | Tutorials Point Class 12th – Symmetric & Skew Symmetric Matrix Problem-3 | Matrices | Tutorials Point
A matrix is both Symmetric and Skew Symmetric is a Null Matrix A matrix is both Symmetric and Skew Symmetric is a Null Matrix
𝐏𝐫𝐨𝐯𝐞 𝐭𝐡𝐚𝐭 𝐀 𝐦𝐚𝐭𝐫𝐢𝐱 𝐰𝐡𝐢𝐜𝐡 𝐢𝐬 𝐛𝐨𝐭𝐡 𝐒𝐲𝐦𝐦𝐞𝐭𝐫𝐢𝐜 𝐚𝐬 𝐰𝐞𝐥𝐥 𝐚𝐬 𝐒𝐤𝐞𝐰 𝐬𝐲𝐦𝐦𝐞𝐭𝐫𝐢𝐜 𝐢𝐬 𝐚 𝐧𝐮𝐥𝐥 𝐦𝐚𝐭𝐫𝐢𝐱. 𝐏𝐫𝐨𝐯𝐞 𝐭𝐡𝐚𝐭 𝐀 𝐦𝐚𝐭𝐫𝐢𝐱 𝐰𝐡𝐢𝐜𝐡 𝐢𝐬 𝐛𝐨𝐭𝐡 𝐒𝐲𝐦𝐦𝐞𝐭𝐫𝐢𝐜 𝐚𝐬 𝐰𝐞𝐥𝐥 𝐚𝐬 𝐒𝐤𝐞𝐰 𝐬𝐲𝐦𝐦𝐞𝐭𝐫𝐢𝐜 𝐢𝐬 𝐚 𝐧𝐮𝐥𝐥 𝐦𝐚𝐭𝐫𝐢𝐱.
Can a non zero matrix be both symmetric as well as skew symmetric? Can a non zero matrix be both symmetric as well as skew symmetric?
What is a Skew-Symmetric Matrix? What is a Skew-Symmetric Matrix?