Examples of Subspaces, Basis and Dimensions

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in this video we discuss symmetric and skew-symmetric matrices, are they Subspaces? If yes what are the basis and the dimensions?

0:00 : Basis
0:56 : Dimensions
1:16 : Symmetric Matrices
4:45 : Basis for symmetric Matrices
8:22 : Dimensions for symmetric Matrices
11:00 : Skew Symmetric Matrices
12:29 : Basis and Dimensions for Skew symmetric matrices
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